Question

Jaxson is deciding between two truck rental companies. Company A charges an initialfee of $50 for the rental plus $2 per mile driven. Company B charges an initial fee of$10 for the rental plus $3 per mile driven. Let A represent the amount Company Awould charge if Jaxson drives x miles, and let B represent the amount Company Bwould charge if Jaxson drives x miles. Graph each function and determine whichcompany would be cheaper if Jaxson needs to drive 60 miles with the rented truck.

Answer 1

Given:

Initial fee for company A = $50

Fee per mile = $2 per mile

Initial fee for company B = $10

Fee per mile = $3

Let A represent the amount Company A would charge if Jaxson drives x miles

Let B represent the amount Company B would charge if jason drives x miles

Thus, we have the following functions:

Company A:

A = 2x + 50

Company B:

B = 3x + 10

To find the comapny that would be cheaper if Jason drives 60 miles, substitute 60 for x in each equation and evaluate.

For company A:

A = 2(60) + 50

= 120 + 50 = 170

A = $170

If Jason drives Company A's truck for 60 miles he will pay $170

For company B:

B = 3(60) + 10

= 180 + 10 = 190

B = $190

If Jacon drives company B's truck for 60 miles he will pay $190

Differnce between cost of company A and company B:

$190 - $170 = $20

Company A is $20 cheaper than Company B when driving for 60 miles

The graph is attached below.

The red line represents the function for company A.

The blue line represents the function for company B.