To raise money, a school rented some games and hosted a carnival over three weekends. Each participant attending the carnival paid an admission fee. Both the admission fee and the rental fee for the games remained the same each weekend. The amount of money raised by the carnival each weekend was equal to the difference between the total admission fees collected from all participants and the rental fee for the games. The table below shows the number of participants and the money raised on each of the three weekends.%0D%0A%0D%0AWeekend%09Number of%0D%0AParticipants%09Money Raised%0D%0A1%0975%09$125%0D%0A2%09150%09$500%0D%0A3%09300%09$1,250%0D%0A %0D%0A%0D%0AWhat was the rental fee for the games for one weekend?%0D%0A%0D%0A%09A.%09%0D%0A$250%0D%0A%0D%0A%09B.%09%0D%0A$375%0D%0A%0D%0A%09C.%09%0D%0A$400%0D%0A%0D%0A%09D.%09%0D%0A$500%0D%0A%0D%0A%09E.%09%0D%0A$650
To find the rental fee for the games for one weekend, we can subtract the money raised from the total admission fees collected.
Weekend 1:
Total Admission Fees = Number of Participants * Admission Fee = 975 * Admission Fee
Money Raised = Total Admission Fees - Rental Fee
$125 = 975 * Admission Fee - Rental Fee
Weekend 2:
Total Admission Fees = 150 * Admission Fee
Money Raised = 150 * Admission Fee - Rental Fee
$500 = 150 * Admission Fee - Rental Fee
Weekend 3:
Total Admission Fees = 300 * Admission Fee
Money Raised = 300 * Admission Fee - Rental Fee
$1,250 = 300 * Admission Fee - Rental Fee
From the given information, we need to solve for the common Rental Fee value.
Solving the first equation for Admission Fee:
Admission Fee = $125 / 975
Substitute the value of Admission Fee into the second equation and solve for Rental Fee:
$500 = 150 * ($125 / 975) - Rental Fee
$500 = $19.23 - Rental Fee
Rental Fee = $19.23 - $500 ≈ $480.77
The rental fee for the games for one weekend is approximately $480.77.
Therefore, the closest answer choice is D. $500.