A company rents out 17 food booths and 25 game booths at the county fair. The fee for a food booth is $200 plus $9 per day. The fee for a game booth is $80 plus $4 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answers
Answer:
Step-by-step explanation:
Food both,
The initial amount paid = $200 = a
Amount increased for each day = $9 = d
No.of days the fair lasts = d = n
No.of booths =17
A= 17a = 17 ×200 = $3400
Sum of amount paid to the company(food booth) = Sₙ
Sₙ₁= n/2 [2A +(n-1)d]
= d/2 [2(3400) + (d-1) 9]
= d/2 [6800 +9d-9]
= d/2 [6791 +9d]
= 6791d/2 +9d²/2
Game booth,
a=$60 , d=$4 , n=d, A= 25(80) = $2000
Sₙ₂ = d/2 [2(2000) + (d-1) 4]
= d/2 [4000 +4d-4
= d/2 [ 3996 +4d]
= 3996d/2 + 4d²/2
Total cost to be paid = Sₙ₁ +Sₙ₂
= 6791d/2 +9d²/2 + 3996d/2 + 4d²/2
= [6791d + 3996d + 9d²+ 4d²] / 2
= [10,787d + 13d²]/2
=[6719d + 3996d+ 9d²+4d²]/2
= [10,787d+13d²] /2
is the right answer
