Parking in a student lot cost $1 for the first half hour and $1.25 for each hour thereafter. A partial hour is charge the same as a full hour is charge the same as a full hour. What is the longest time that a student can park in this lot for $9.
After half hour studen have 9 - 1 = 8 $
x = 8 / 1.25 = 6.4 h
A partial hour is charge the same as a full hour so x = 6 h
0.5 + x = 0.5 + 6 = 6.5 h
Parking in a student lot costs $1 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? The longest time is [ ] hour (s) simplify your answer
Let's determine the maximum amount of time a student can park in this lot for $9.
For the first half hour, the cost is $1.
So, now we have $9 - $1 = $8 remaining.
After the first half hour, the cost is $1.25 per hour.
Since we have $8 remaining, let's divide that by $1.25 to find out how many hours a student can park:
$8 / $1.25 = 6.4 hours
Since the cost is charged in full hour increments, the student cannot park for 6.4 hours. They can park for a maximum of 6 hours, as the cost for each hour thereafter is $1.25.
Therefore, the longest time a student can park in this lot for $9 is 0.5 hours (or 30 minutes) + 6 hours = 6.5 hours.
To determine the longest time a student can park in this lot for $9, we need to find the maximum number of hours they can park.
Let's start by calculating the cost for the first half hour. We know that it costs $1 for the first half hour, so we subtract that amount from the total budget: $9 - $1 = $8 remaining.
Since the partial hour is charged the same as a full hour, we can assume that the time spent in the first half hour is rounded up to a full hour. Therefore, we can now allocate $1.25 per hour to the remaining budget.
To find the maximum number of hours a student can park, we divide the remaining budget by the cost per hour: $8 / $1.25 = 6.4 hours.
However, since a partial hour is charged the same as a full hour, we need to round up the decimal value to the nearest whole number. Therefore, the student can park for a maximum of 7 hours by using their $9.
Please note that this calculation assumes that the student lot pricing starts from the moment the student enters, so there are no additional costs for exiting the lot.