Question

April rented a car for $14.20 per day plus $0.16 per mile. If her bill was

$42.68, how many miles did April drive in one day.

Answer 1

14.20 = cost to rent car $0.16 = each mile

14.20+.16x=$42.68
-14.20 -14.20
.16x=28.48
*divide both sides by .16
ANSWER: 178 miles

Answer 2

178 miles

Explanation:

We know that there is a constant of $14.20 that is the fee. This can represent b in our slope intercept formula. For every mile, the cost is 16 cents, which can replace m when x represents the number of miles driven.

y=mx+b

y=.16x+14.20

We know her entire bill is 42.68, so we can plug that in as y and solve for x.

42.68=.16x+14.20

Minus 14.20 from both sides

28.48=.16x

Divide both sides by .16

x=178