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.

178 miles

Step-by-step 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