Parking in Lauras parking garage costs a 550 flat rate plus

Parking in Laura\'s parking garage costs a $5.50 flat rate plus an additional $1.75 per hour. If Miguel has between $12.50 and $23 to spend on parking, how many hours can he park for?

Express your answe as an inequality.

Solution

Let x be the required number of hours. The parking charges for x hours are 5.50 + 1.75x. Since Miguel has between $ 12.50 and $ 23, we have 12.50 ( 5.50 + 1.75x ) 23 or, (12.59 - 5.50) 1.75x (23 - 5.50) or, 7 1.75x 17.5 or, 7/1.75 x 17.5/ 1.76 or, 4 x 10. Thus Miguel can park for betwwen 4 and 10 hours.