Hana rented a car for a week for $200 plus $0.25 per mile. After driving for one week, she owed the rental company $362.50.

Which equation represents the amount she paid to the rental company, and how far did Hana drive during the week?

A.
$200 - $0.25m = $725; m = 2,250 miles
B.
$200 + $0.50m = $250; m = 140 miles
C.
$200 + $0.25m = $362.50; m = 650 miles
D.
$200 - $0.25m = $362.50; m = 1,450 miles

1 answer

The correct equation represents the amount she paid to the rental company as $200 + $0.25m = $362.50, where m represents the number of miles she drove during the week.

To solve for m, we can subtract $200 from both sides of the equation and then divide both sides by $0.25:

$0.25m = $362.50 - $200
$0.25m = $162.50
m = $162.50 / $0.25
m = 650 miles

Therefore, Hana drove 650 miles during the week.

The correct option is C.
$200 + $0.25m = $362.50; m = 650 miles