Question

A rental car company charges a basic fee plus a price per mile. One customer drove 250 and paid 56.50, while another customer drove 400 and paid 79. Write an equation in slope - intercept form for the cost of renting a car. Use your equation to find how much it would cost to drive 325 miles?

Answer 1

y = 0.15x+19 and

67.75

Explanation:

Let us assume y for total cost and x no of miles.

Then x and y are related by a straight line.

Two points lying on the line are

(250,56.50) and (400,79)

Use two point formula

y-56.50/(79-56.50) = x-250/(400-250)

y-56.50 = 22.5(x-250)/150

y = 22.5x/150 -37.50+56.50

Or y = 0.15x+19

To find out cost for 325 miles:

x=325

y= 0.15(325)+19

= 48.75+19

=67.75