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rjkz [21]
3 years ago
9

Bob is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0

m = the number of miles driven

Company A cost = 76    

[they charge $76 for unlimited mileage, so they don't charge by the miles driven]

Company B cost =  0.70m + 55  

[they charge an initial fee of $55 plus $0.70 per mile(m)]

For what mileages will Company A charge less than Company B?

Company A cost < Company B cost  ----->   76 < 0.70m + 55      

To solve for m, isolate/get the variable "m" by itself in the inequality:

76 < 0.70m + 55     Subtract 55 on both sides

76 - 55 < 0.70m + 55 - 55

21 < 0.70m     Divide 0.70 on both sides to get "m" by itself

\frac{21}{0.70}

30 < m      [m is any number greater than 30]

Company A will charge less than Company B for mileages over/greater than 30.

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