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# how miles did you drive

a car rental company charges a daily rate of \$37 plus \$0.20 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is \$115. how many miles did you drive.

### 1 Answer by Expert Tutors

Andrew K. | Expert Math and Physics Tutor - Many successful students!Expert Math and Physics Tutor - Many suc...
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Hi, Ashley,

So, we know that the rental company charges \$37/day, plus \$.20 per mile. If we rented the car for one day, we can set up an equation as follows:

Total cost for one day = \$37 + \$0.20 x (# of miles)

We know that we only rented for one day, and the total cost was \$115, so we can modify the equation to say:

\$115 = \$37 + \$0.20 x (x)

Getting rid of the \$ signs for clarity:

115 = 37 + .2 (x)

Now let's solve for x. First, we will subtract 37 from both sides of the equation:

115 = 37 + .2 (x)
-37         -37

78 = .2 (x)

Now we will divide by .2 on each side to get "x" all by itself:

78 = .2 (x)
.2        .2

390 = x

So, to incur the given cost of \$115 in one day, you must have driven 390 miles.