Question

Kala 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 $102 and allows unlimited mileage
Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven. m
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

\[102 \le 75 + 0.6(miles)\]\[\frac{102-75}{0.6}\le x (miles)\]\[45\le (miles)\]

Answer 2

thnks :)

Answer 3

102 = 75 + .60m
102 - 75 = .60m
27 = .60m
27/.60 = m
45 = m

at 45 miles they will charge equal amounts. So for company A to charge less, they would have to drive more then 45 miles. (46 and above)

Answer 4

let me check something......hold on

Answer 5

102 < 75 + .6(46)
102 < 75 + 27.60
102 < 102.60

102 < 75 + .6(47)
102 < 75 + 28.20
102 < 103.20

thats what I thought...for company A to be cheaper, the person would have to drive 46 or MORE miles

Answer 6

thanks so much :)

Answer 7

no problem :)