Arental 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?

y = 0.15x+19 and

67.75

Step-by-step 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

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0