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Answer:

The equation is:

y = -15*x + 1200

and:

a = 120

b = 70

c = -1500

Step-by-step explanation:

This seems to be a linear relationship.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Here we know that our line passes through the points (60, 300) and (20, 900)

Then the slope of this line is:

a = (900 - 300)/(20 - 60) = 600/(-40) = -15

Then this line is something like:

y = -15*x + b

To find the value of b, we know that this line passes through the point (60, 300) then when x = 60, we have y = 300.

Replacing these values in the above equation we get:

300 = -15*60 + b

300 + 15*60 = b = 1200

Then:

y = -15*x + 1200.

Now that we have this equation, we can complete the table.

a is the value for y, when x = 72

Then we can replace x by 72 in the above equation:

a = -15*72 + 1200 = 120

a = 120

b is the value of x when y = 150, then we need to replace y by 150

150 = -15*b + 1200

150 - 1200 = -15*b

(150 - 1200)/-15 = b = 70

then:

b = 70

c is the value of y when x = 180, then we need to replace x by 180.

c = -15*180 + 1200

c = -1500

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