you could give away 70 coffee mugs without charging anything.
If you charge $10.00, nobody will buy the coffee mugs. You also figured out that your sales will be decreasing
following straight line. Your job is to find the maximum possible revenue from selling the coffee mugs.
Answer the following questions:

1. Graph the linear relationship between the price of coffee mugs p, and the number of coffee mugs sold S.
Hint: To give away 70 coffee mugs means when the price p=0, S(0) = 70. Plot that point on the graph. Find one
more point using the other given condition. Keep in mind S(p) is a linear function. Be careful what will be
represented on the x-axis, and what will be represented on the y-axis.
2. Find the equation of the linear function S(p) that describes the quantity sold as a function of the price p.
3. The revenue is determined by R = Sp. Express the revenue as a function of the price p.
Help: You may look at the examples from the power point for section 2.6
4. Graph the revenue function. Make sure to label the x - and the y - axis with the appropriate units.
5. At which price per coffee mug do you not make any money?
6. Find the price per coffee mug that makes the most revenue.
7. How many coffee mugs must be sold to maximize the revenue?
8. What is the maximum revenue?
9. What price per coffee mug you should charge to collect at least $70 in revenue?
Your project will be graded based on the following:
1. Turned in a hard copy, and an electronic version as a PDF file on Blackboard on time (due date Dec 7
or before ) (5pts. deduction per day)
2. Completeness (no missing part, show all of your work, calculations, formulas used etc.
3. Precision ( correct answers )
4. Complete graph
the graph has a title
the axes are labeled ( make sure you have included the units of measurement)

-

Answers

Answer 1

At $ 10 per mug you will not get any money; the maximum possible revenue is $ 175, which will be obtained by selling the mugs for $ 5; and to get at least $ 70 in revenue the mugs must be sold for $ 2.

Since you could give away 70 coffee mugs without charging anything, and if you charge $ 10.00, nobody will buy the coffee mugs, and you also figured out that your sales will be decreasing following straight line, and your job is to find the maximum possible revenue from selling the coffee mugs, to determine at which price per coffee mug do you not make any money; the price per coffee mug that makes the most revenue; how many coffee mugs must be sold to maximize the revenue; what is the maximum revenue; and what price per coffee mug you should charge to collect at least $ 70 in revenue; the following calculations must be performed:

70 = 0 0 = 10 35 = 5 63 x 1 = 63 56 x 2 = 112 49 x 3 = 147 42 x 4 = 168 35 x 5 = 175 28 x 6 = 168

Therefore, at $ 10 per mug you will not get any money; the maximum possible revenue is $ 175, which will be obtained by selling the mugs for $ 5; and to get at least $ 70 in revenue the mugs must be sold for $ 2.

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Related Questions

What multiplication product is represented by this grid

Answers

Answer: 0.07 x 5

There are 35 colored out of the 100 = 35%

35% = 0.35 = 0.07 x 5

A group of 12 adults and 26 children go to a theme park.
The total cost of tickets is £1804.80.
An adult's ticket costs £51.60
Find the cost of a ticket for a child.

Answers

Answer:

I don't have the Pound Sterling sign on my keyboard but the answer is $45.60

Step-by-step explanation:

Since each adult ticket costs $51.60 and there are 12 adults

The total cost of adult tickets = $51.60*12=$619.20

Then take the total cost of tickets and subtract $619.20 from it

$1804.80-619.20=$1185.60 that's the total cost of children's tickets

Since there are 26 children you have to divide that answer by 26 to get it

$1185.60/26=$45.60

What equation represents a line which is perpendicular to the line y = -6/5 - 7?

Answers

Answer:

B. (top right) 6y - 5x = 18

Step-by-step explanation:

Is the equation of the given line

y = -6/5 x - 7?

The x is missing.

If so, then the slope of the given line is -6/5.

A perpendicular line has a slope that is the negative reciprocal of -6/5, so we need a slope of 5/6.

A.

6x - 5y = 30

-5y = -6x + 30

y = 6/5 x - 6

Here the slope is 6/5, so this is not it.

B.

6y - 5x = 18

6y = 5x + 18

y = 5/6 x + 3

This is it.

C.

6x + 5y = 20 has negative slope, so it is not it.

D.

5x + 6y = 42 has negative slope, so it is not it.

Can someone help me with this?

Answers

Answer:

6 units i think but i dont u how u do it

hi i need help with this

Answers

Answer:

difficult

Step-by-step explanation:

Comepare and order the following numbers from least to greatest. 5.2 -5.666 3.9 ✔️21

Answers

Answer: 1st -5.666 2nd 3.9 3rd 5.2 4th21

Step-by-step explanation:

you don't have to worry about the .9 and .2 in 3.9 and 5.2 just look at it as 3 and 5. 5 is greater so it comes first and 21 is the greatest and -5.666 is negative so -5.666 is the least

watch out for people who post links as an answer to your questions. they will mess up your account​

Answers

Answer:

OK THX

Step-by-step explanation:

ahh i need help with these 2 questions ill mark u as brainliest ​

Answers

Answer:

3. x = 96

4. x = 6

Step-by-step explanation:

What is the greatest common factor of 50, 15, and 10?

Answers

Answer:

5

Step-by-step explanation:

you would need to factor each of the number and they are all in the 5 times table

Answer:

GCF = 5

Step-by-step explanation:

Reason being that all are divisible my 5 and 10 cannot be used because it makes a fraction which is not how the GCF can be found.

Math:

50 = 5 * 10 or 25 * 2 or 50 * 1

15 = 5 *3 or 15* 1

10 = 5 * 2 or 10 * 1

Only thing that is the same is 5, thus 5 is the GCF.

1. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you purchase?” The results are shown in the line plot.

(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?

Answers

Answer:

a. 15

b. 11

c. 2

d. 7

e. 3

Step-by-step explanation:

a. count the dots, that will be total customers surveyed  = 15

b. one customer purchased 11 items - 11

c. count how many dots under 9 - 2

d. at least 5, meaning ppl buying 5 or more items, count dots greater than 5

  - 7

e. Median means middle number, arrange in order

0,1,2,2,3,3,3,3,5,5,7,7,9,9,11, so middle number is : 3

Answer:

a. 15

b. 11

c. 2

d. 7

e. 3

hope this helps :)

What is the equation of the given line in standard form? Use integer coefficients.
y=-1.7x + 8.5

A.)17x + 10y = 85
B.)-17x + 10y = 85
C.)-17x + 10y = -85
D.)17x+10y = -85

Answers

Answer:

A

Step-by-step explanation:

y = - 1.7x + 8.5 ( add 1.7x to both sides )

1.7x + y = 8.5 ( multiply through by 10 )

17x + 10y = 85 → A

A line is drawn so that it passes through the points (-3, -1) and (4, 2).

a. What is the slope of the line?

b. Using the point (4, 2) and the slope found above, write the equation of the line in point-slope form.

Answers

Answer:

y - 2 3/7 (x-4)

Step-by-step explanation:

A) To find slope, use the equation:where  and  are the x and y values of one coordinate point  , and  and  are the x and y values of another coordinate point . Since we are given two coordinate points, (-3,-1) and (4,2), that means we can find the slope using the slope equation.  

Let's choose (4, 2) as your  point and (-3, -1) as your  point, but you can switch those if you want! That makes  and x^1 = -3, y1 = -1 . Plug these values into the slope equation:

The slope of the line is 3/7.

B) Remember that the general equation for point-slope form is, where m = the slope,  = the x value of a coordinate point on the line, and  = the y value of the same coordinate point on the line.  

You are given (4, 2) as one of the coordinate points. That means  = 4 and  = 2. We found the slope, m =  in part A. Now plug these values into the general equation for point-slope form to find your point-slope form equation:

Your point-slope form equation is y - 2 3/7 (x-4).

Answer:

a. 3/7 b. y=3/7x+2/7

Step-by-step explanation:

(-1-2)/(-3-4)=3/7

slope is 3/7

apply point for answer

2=3/7(4)+n

n=2/7

apply

y=3/7x+2/7

How can I find a rule in a math question

Answers

Answer:

Step-by-step explanation:

How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear function, plugging any two sets of values from the table into the equation y = ax + b, where a and b are constants to be found and x, y are values taken from the table. Solving the two equations obtained simultaneously gives the values of a and b and hence the required rule.

Similarly, if the function is a quadratic equation, plugging any three sets of values from the table into the equation y = ax^2 + bx + c, where a, b, c are constants to be found and x, y are values taken from the table. Solving the three equations obtained simultaneously gives the values of a, b and c and hence the required rule. For tables with no prior knowledge of the type of function, a series of trial and error will lead us to the solution of the problem.

please help me with both questions I will give brainliest , thank youu!!​

Answers

Answer:

1st. yes

2nd. no

i don't know

Step-by-step explanation:

Kyra went to the grocery store on Monday and bought 5 apples and 2 oranges for a total of $3.45. On Thursday she bought 3 oranges and 7 apples for a total of $4.90. what is the total cost of the apple for two days ?

Answers

Answer: $6.60

Hope this helps

What is the range of this relation?
(8,-9)
(5, -3)
(-4, 6)
(-3, -2)
(6,8)
(8,6)

Answers

Answer:

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Step-by-step explanation:

{(2,4), (8,-3), (-5,-1), (4,6), (6,7), (9,0)}

The domain is the input and the range is the output

domain is { 2,8,-5,4,6,9} and the range is {4,-3,-1,6,7,0}

We put the numbers in order from smallest to largest

Domain = {-5,2,4,6,8,9), range = (-3,-1,0,4,6,7}

Answer:

(-9,-3,6,-2,8,6) is the answer as the range is always the "second pair" of numbers in any relation.

Use the dropdown menus to write an equation with infinitely many solutions.

4(2x + 3) – x =
A. 4 B. 5 C. 6 D. 7
x +
A. 12 B. 15 C. 16 D. 18

Answers

Answer:

4(2x + 3) - x = 7x + 12

Explanation:

That's what T4L/Edge said

what is the value of x + y?​

Answers

Answer:

55°

Step-by-step explanation:

180°-70°=110° (sum of angles on a straight line gives 180°

The size of each of the four remaining angles=110°/4 = 27.5°

<X + <Y = 27.5° + 27.5°=55°

Morgan drew 3 lines. • Line A moves in the same direction as Line B and the lines never intersect. • Line B forms a perfect right angle (90° angle) with Line C. Which statement is correct about these lines?
A: Line B is parallel to Line
2: Line A is perpendicular to Line B
3: Line C is perpendicular to Line A
4: Line C is parallel to Line A ​

Answers

Answer: line c is perpendicular to line a

Step-by-step explanation:

Parallel lines are two or more lines that lie next to each other

Line C is perpendicular to Line A.

The correct option is 3.

What are parallel and perpendicular lines?

Parallel lines are the lines that do not intersect or meet each other at any point in a plane.

In Mathematics, a perpendicular is defined as a straight line that makes the right angle (90 degrees) with the other line. In other words, if two lines intersect each other at the right angle, then the lines are perpendicular to each other.

Given, three lines A, B and C.

Line A moves to the same direction as Line B

⇒  Line A║ Line B

Line B makes perfect right angle with line C

⇒ Line B ⊥ Line C

From the given statements

we can conclude

⇒ Line A ⊥ Line C

Hence,  Line C ⊥ Line A

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Calculate x you must include the steps and your solution and the definitions and or conjuncture that you use

Answers

Answer:

40

Step-by-step explanation:

helpppppp plzzzzzz is fue today

Answers

It’s 3 since it is going up on the y axis

Answer:

a) 3

Step-by-step explanation:

that's the correct answer

c) Now let’s do another “what if”. What if the normal cost of an office visit to your regular doctor is $80, without insurance? With AAA+ and Health Today you would pay only $25 for the office visit, as it is not part of the deductible. With Best Insurance, if you have not met the deductible yet, you would pay the whole cost of $80. You may have a lot of office visits before you pay the deductible on this insurance. Let’s assume that you have met the deductible and see what the office visit would cost. You will pay 20% of it.

• AAA+
Office Visit = $25

• Health Today
Office Visit = $25

• Best Insurance
Office Visit = 20% of 80 =

Answers

Answer:

$16

Step-by-step explanation:

What is the greatest common factor (GCF) of 14 and 21?

Answers

Answer:

7

Step-by-step explanation: u get 14 by multiplying 2 and 7 and u get 21 by multiplying 7 times 3

[tex]14 = 7 \times 2 \\\\21 = 3 \times 7\\\\GCF = 7[/tex]

Which student used the correct steps to construct rhombus PQRS?

Answers

Answer:

  Student 1

Step-by-step explanation:

In order to accomplish the next step of construction PS║QR, the angle LQM must be copied to make angle NPT. That is done by drawing arc NT (centered at P) so it has the same (chord) length as arc LM.

This step is only accomplished by Student 1.

Jim has $84,410 in a savings account that earns 15% interest per year. How much will he have in 4 years?​

Answers

I dont know im sad because i dont know

A lifetime subscription to a website cost $250. A monthly subscription to the website cost $10 to join and $15 per month, write an equation in slope-intercept form to represent the cost of each plan

Answers

Answer:

250=15x+10

Step-by-step explanation:

250=y

10=b

15 is how much you are paying consantly

The equation in slope-intercept form to represent the cost of each plan is 250=15x+10.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that, a $ 250 lifetime online membership was required. The website's membership costs $10 to enroll and $15 each month.

If x is the number of months, the equation in slope-intercept form to represent the cost of each plan is,

y=mx+c

250=15x+10

Thus, the equation in slope-intercept form to represent the cost of each plan is 250=15x+10.

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solve for y -3.3+y/4=9.7

Answers

Answer:  y=  5 /52  = 10 2/5 = 10.4

Step-by-step explanation:

-3.3+y/4=-9.7

We move all terms to the left:

-3.3+y/4-(-9.7)=0

We add all the numbers together, and all the variables

y/4+6.4=0

We multiply all the terms by the denominator

y+(6.4)*4=0

We add all the numbers together, and all the variables

y+25.6=0

We move all terms containing y to the left, all other terms to the right

y=-25.6

   

   

A committee consisting of three people is to be selected from ten members. How many ways are there to select the committee of three people

Answers

Answer:

120

Step-by-step explanation:

10 choose 3

theres really no simple way to do that with work unless you have a fancy calculator.

SOMEONE HELP MEEEEE PLEASEEEEE


Answers:
A.(1.5,0.75)
B.(1.75,0.5)
C.(0.75,1.5)
D.(1.5,1.75)

Answers

D is the answer, not A

Find the slope and the y−intercept of the line in the graph.



The slope is .

The y−intercept is .

Can anyone help me?

Answers

Answer:

slope: 5intercept: 4

Step-by-step explanation:

It works well to find the slope using points where the graph crosses grid intersections. We see two of those are (0, 4) and (1, 9). The slope formula tells us ...

  m = (y2 -y1)/(x2 -x1)

  m = (9 -4)/(1 -0) = 5

The slope is 5.

__

The y-intercept is the value of y when x=0. The point (0, 4) tells us ...

The y-intercept is 4.

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