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Carmen 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 $70 and an additional 10 cents for every mile driven. Company B charges an initial fee of $45 and an additional 60 cents for every mile driven. For what mileages will Company A charge no more than Company B? Write your answer as an inequality, using m for the number of miles driven.

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Answer:

mileages greater than 50miles, company A will charge less than company B. For mileages less than 50miles, company B will charge less than company A.

For 50miles, Company A and company B will charge the same amount

Explanation:

Suppose 'm' to be the number of miles

Charge of company A= 70+0.1m

Charges of company B= 45+0.6m

Charge of company A< Charge of company B

70+0.1m< 45+0.6m

Solving above inequality gives,

m>50

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