Question

Linda 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 $114 and allows unlimited mileage,
Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven
For what mileages will Company A charge less than Company B?
Usem for the number of miles driven, and solve your inequality for m.

Answer 1

Answer: as company A charges a fix amount $93 for any distance and company B charges variable amount starting from $65.there will be a certain mileage after that the amount charged by company B should be greater than company A.

let for greater than m mileage company A will

charge less than company B.

charge for company A for m mileage= $93

charge for company B for m mileage= $65 + $0.70*m

so,

93 ≤ 65+0.70*m

93-65 ≤ 65+0.70*m -65

28 ≤ 0.70*m

28*10 ≤ 7 *m

280 ≤ 7m

280/7 ≤ 7m/7

40 ≤ m

Ans: greater than 40 mileage Company A will charge less than Company B

Explanation: