Question

please help me with the answer i will give you a medal

Parking in a student lot costs $1 for the first half hour and $1.25 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? The longest time is

Answer 1

8-1=7
7=1.25x=5/4 x
x=28/5=5.6=6
total hours =6+1/2=13/2 hours

Answer 2

Let x be the number of hours AFTER the first hour. Then:
\[1+1.25x=8\]\[1.25x=7\]\[x=5.6\]
So the student can stay 6 hours (the whole part of the 5.6, plus the first hour). Notice that they can't stay a partial hour or they will be charged for a full hour.

At 6 hours, they will pay:
1+1.25(5)=$7.25

An additional hour (or part of an hour) would put them over an $8 charge.

Answer 3

okay so the answer is

Answer 4

8

Answer 5

It's in my post above... did you understand everything I said?

What makes you say 8?

Answer 6

yes i understood

Answer 7

OK, the answer is there.... it isn't 8. :)

Answer 8

no i was confused but i get it now okay thank you

Answer 9

Sure, happy to help. :)

Answer 10

complete hours are only 6

Answer 11

Ooops, the $1 is for the first HALF hour. So the equation is the same, but x is the number of hours after the first HALF hour.

Since x=5.6 then, you can park there for the first half hour, plus the 5 full hour part of 5.6, so a total of 5.5 hours.

At 5.5 hours, they will pay: 1+1.25(5)=$7.25, and can't afford another full (or partial) hour.

Answer 12

so the answer was wrong it is 5 hours

Answer 13

It is 5.5 hours. The 5 full hours, plus the first 1/2 hour for $1. (I think the question is a bit confusing, in that it makes it sound like there are no "partial hours".... but in fact, you start with a half hour, THEN only full hours after that.)

Answer 14

yes you are right