charlotterache charlotterache

03-10-2019
Mathematics

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Danny rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 92 cents for each mile driven. Danny had to pay $194.47 when he returned the truck. For how many miles did he drive the truck? Write and solve an equation to find the answer.

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Luv2Teach Luv2Teach

09-10-2019

Answer:

194 miles

Step-by-step explanation:

The base fee of $15.99 is going to have to be paid, whether any miles are put on the truck or not. If the number of miles driven is our unknown, if we rent the truck for the base fee of $15.99 and drive it 0 miles, we still have to pay the $15.99. If we do drive it and we have to pay .92 a mile, the expression for that is .92x, where x is the number of miles driven (it is also the variable we are solving for!). The expression for this total cost is .92x + 15.99, and since we paid a total of $194.47, we set our cost equation equal to that number and solve for x:

.92x + 15.99 = 194.47 and

.92x = 178.48 so

x = 194 miles driven

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