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A rental company rents a luxury car at a daily rate of 39.11 ​$ plus​ $.50 per mile. Is allotted100 ​$ for car rental each day. Write an equation to represent the cost C of renting a c ar and driving x miles. How many miles can travel on the ​100$​?

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Answer:

- The equation that represent the cost C of renting a car and driving x miles is C = $39.11 + $0.50x

- $100 can travel 121.78 miles

Explanation:

From the question, a rental company rents a luxury car at a daily rate of 39.11 ​$ plus​ $.50 per mile, that is

$0.50 is added to the initial $39.11 for every mile.

The equation that represent the cost C of renting a car and driving x miles is

C = $39.11 + $0.50x

Now, to determine how many miles 100$ can travel,

we will put C = $100, and determine x in the above equation

$100 = $39.11 + $0.50x

$100 - $39.11 = $0.50x

$60.89 = $0.50x

x = $60.89/$0.50

x = 121.78

Hence, $100 can travel 121.78 miles

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