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how miles did you drive

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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.