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Carlos 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 $107 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.

Carlos 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 107 and allows unlim class=

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Answer:

m > 600

Step-by-step explanation:

Let m = number of miles driven by Carlos and

If he rents from company A, he has to pay a flat rate of $107

If he rents from B, he has to pay a base rate of $65 and an additional rate of $0.07 per mile which becomes a total of $0.07m for m miles driven
So total cost of rental from company B = 65 + 0.07m

For A cost to be less than B cost we have the inequality
107 < 65 + 0.07m

Switch sides - the inequality < switches direction becoming >
65 + 0.07m >600

Subtract 64 on both sides:|
0.07m >107 - 65

0.07m > 42

Divide both sides by 0.07
m > 42/0.07

m > 600

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