SOLUTION: Parking in a student lot costs $3 for the first half hour and $1.50 for each hour thereafter. A partial hour is charged the same as a full hour. What is the longest time that a stu

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Parking in a student lot costs $3 for the first half hour and $1.50 for each hour thereafter. A partial hour is charged the same as a full hour. What is the longest time that a stu      Log On


   

Question 705264: Parking in a student lot costs $3 for the first half hour and $1.50 for each hour thereafter. A partial hour is charged the same as a full hour. What is the longest time that a student can park in this lot for $7.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For 1st 1/2 hr, student pays $3 and has $4 left
Add 1 hr, now = 1.5 hrs, student pays $1.50,
has $4 - $1.50 = $2.50 left
Add 1 hr, now = 2.5 hrs
has $2.50 - $1.50 = $1 left
Anything over the 2.5 hrs, the student will be
charged $1.50, but only has $1, so
2.5 hrs is the maximum time with $7