Question

HELPPPPP PLEASEEEEEEEE !!!!!!!!!!!!!!!!!!!!!

Penelope is moving and must rent a truck. There is an initial charge for the rental plus a fee per mile driven. Let C represent the total cost of renting the truck when the truck is driven m miles. A graph of C is shown below. Write an equation for C then state the y-intercept of the graph and determine its interpretation in the context of the problem.

Answer 1

Explanation:

I don't see a graph, but I'll answer what I can.

C = total cost of truck rental

. . will be equal to the initial charge, which I'll call IC, and a fee per mile, which I'll call F. m is the miles driven.

C = IC + Fm [Total cost is the initial cost plus mileage charge for m miles].

Rewrite this in standard format of y = mx + b, where m is the slope and b is the y-intercept.

C = Fm + IC

The graph will be a straight line with slope F and y-intercept IC. The x axix is miles driven, and the y axis is Total Cost. If the mileage fee were $0.20/mile, the slope would be 0.20.

The attached graph is the result for IC = $100 and F is $0.20/mile. Miles are on the x axis and total cost on the y.