Linda found that the cost to get a swimming pool installed in her backyard is a linear function of the pool's area. a swimming pool with an area of 1,500 square feet can be installed for $54,000, whereas the installation of a 700 square foot swimming pool costs $30,000. make a graph that represents this function and write the equation of the line. let a represent the pools area and c represent the cost.

T he equation of the line is

Step-by-step explanation:

If A represents the Area and C represents the cost, then we know that:

For an area square feet, the cost is

If , then,

Since we know that the cost equation is a function of the area it is a linear relationship so we must find the equation of the line

Where:

m is the slope of the line

b is the intersection with the C axis ..

We already have 2 points:

(700, 30000)

(1500, 54000)

With these points we find the slope using the formula:

So the equation is:

We find b replacing the point (700, 30000) in the equation

So

The graph of the linear equation is shown in the attached image

it should be a.

hope it