The table shows the total amounts y (in thousands of dollars) of money a homeowner saves on electric bills x years after installing solar panels.
a. Write an equation that models the total amount of money saved as a function of the number of years after the solar panels were installed.
y = _______
b. Interpret the slope and y-intercept of the line of fit.
Answers
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).
Let y represent the total money in thousand dollar saved for x years.
Taking the points (0, -12) and (20, 20).
The equation is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
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[tex] \large \text{Answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
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see attached
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Each year, the junior class at East High School sells discount cards as a fundraiser. Each $20 discount card is valid for a year
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Drag the tiles to the correct boxes. Not all tiles will be used.
Tiles
20n
n + 200
20n + 200
20(n + 200)
200n
Pairs
revenue from last year
number of cards sold this year if students sell 200 more cards than last year
revenue this year if students sell 200 more cards than last year
Answers
Answer: revenue from last year 20n
number of cards sold this year if students sell 200 more cards than last year n + 200
revenue this year if student sell 200 more cards than last year 20(n + 200)
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The given pairs can be matched as shown below.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
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Step-by-step explanation:
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