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A car rental company charges $0.10 per mile plus an initial fee of $120 for the rental of a midsize sedan. If Lawrence rents a vehicle and has $200, what is the maximum number of miles he can drive?

Answer :

Final answer:

Once the initial fee is subtracted from Lawrence's total amount of $200, he has $80 left for mileage. Given that the company charges $0.10 per mile, we find the maximum number of miles by dividing $80 by $0.10, which results in 800 miles.

Explanation:

The problem presented is a typical situation of linear equations in mathematics. Since Lawrence has $200, and the initial fee to rent is $120, Lawrence has $80 left to spend on mileage ($200 - $120 = $80). The company charges $0.10 per mile, so to find out the maximum mileage that Lawrence can afford, you divide the remaining money ($80) by the fee per mile ($0.10), which results in 800 miles. Therefore, Lawrence can drive a maximum of 800 miles with his $200.

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Answer:

800 miles

Step-by-step explanation:

Set up an equation, where x is the number of miles driven:

0.10x + 120 = 200

Then, solve for x:

0.10x = 80

x = 800

So, the maximum number of miles he can drive is 800 miles