Question

Dan is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $88 and allows unlimited mileage. Company B has an initial fee of $55 and charges an additional $0.60 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.​

Answer 1

Answer:

$\textsf {55 miles}$

Step-by-step explanation:

$\textsf {Company A}$

$\textsf {Fee = 88}$

$\textsf {Mileage = unlimited (0 charged)}$

$\textsf {Equation = 88 (Statement 1)}$

$\textsf {Company B}$

$\textsf {Fee = 55}$

$\textsf {Mileage = 0.60 per mile}$

$\textsf {Equation = 55 + 0.60m (Statement 2)}$

$\textsf {Now, the inequality will be :}$

$\mathsf {88 < 55 + 0.60m}$

$\mathsf {0.60m > 33}$

$\mathsf {m > \frac{33}{0.60} }$

$\mathsf {m > 55}$

Hence, for Company A will charge less than Company B when the mileage is greater than 55 miles.