Linda is going to rent a truck for one day. There are two companies she can choose from, and they ha

Patatiniuh

Patatiniuh

Answered question

2022-07-13

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 an initial fee of $30and an additional 60 cents for every mile driven. Company B charges an initial fee of $37 and an additional 50 cents for every mile driven.
For what mileages will Company A charge less than Company B? Use m for the number of miles driven and write the inequality.

Answer & Explanation

Keegan Barry

Keegan Barry

Beginner2022-07-14Added 18 answers

m= number of miles
y= total cost
The equation for company A
y 1 = 30 + 0.6 m
The equation for company B
y 2 = 37 + 0.5 m
Now solve for m when:
y 1 < y 2
30 + 0.6 m < 37 + 0.5 m
30 + 0.6 m 37 0.5 m < 0
0.1 m 7 < 0
0.1 m < 7
m < 7 0.1
m < 70

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