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.

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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a,1 = a,n =

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A) 3
B) 6
C) 8
D) 1

Question 1 of 10
Using the graph as your guide, complete the following statement.
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101
HA
-10
10

what's 12+12+12?
_______


.

Guided Practice

In each of the equations, the vertex rises or drops along the y-axis. The value of y changes, but the value of x does not change. The x-value remains zero.

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A.
(0, 0)


B.
(0, 1)


C.
(1, 0)


D.
(1, 1)

Check Answer

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I
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