Question

Jina is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.

Company A charges 586 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
A. D > 20
B. D < 5
c. none of above

Answer 1

Company A will charge less than Company B when Jina drives more than 744.29 miles. The given options do not contain this answer, so the correct answer is C. None of the above.

Step-by-step explanation:

To determine for what mileages Company A will charge less than Company B, we need to set up an inequality with the cost equations from both companies and solve for m, the number of miles driven. Company A charges a flat rate of $586 for unlimited mileage, so its cost is represented as:

Cost_A = $586

Company B has an initial fee of $65 plus $0.70 per mile driven, so its cost is represented as:

Cost_B = $65 + $0.70m

To find the mileage for which Company A is cheaper, we want to find when:

Cost_A < Cost_B

Substituting the cost equations, we get:

$586 < $65 + $0.70m

Solving for m:

$586 - $65 < $0.70m

$521 < $0.70m

m > $521 / $0.70

m > 744.29

So, Company A will charge less than Company B for mileages greater than 744.29 miles, which is not represented by the given choices A or B. Therefore, the correct answer is C. None of the above.