SOLUTION: Parking in a student lot costs $3 for the first half hour and $1.75 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 $1.75 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 1036682: Parking in a student lot costs $3 for the first half hour and $1.75 for each hour thereafter. A partial hour is charged the same as a full hour. What is the longest time that a student can park in this lot for 8$?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+8+-+3+=+5+
After the 1st half hr, $5 is left
+5%2F1.75+=+2.8571+
3 full hours is charged
+3%2A1.75+=+5.25+
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+3+%2B+5.25+=+8.25+ so a student cannot
afford 3 hrs after 1st half hr
+2%2A1.75+=+3.5+
+3.5+%2B+3+=+6.5+
-------------------
+.5+%2B+2+=+2.5+
2.5 hrs is the longest a student can park
for $8