The total amount paid by the school for the world fair is $2509.2
Explanation:
Given-
Total number of student, T = 156
Cost of each ticket, C = $17
Discount, d = 15%
Amount school paid for the fair, x = ?
C(100) = $1700
Remaining tickets = 156 - 100
= 56
Cost of 56 tickets:
[tex]Cost of 56 tickets = 17 * 56\\[/tex]
C(56) = $952
The school received a discount of 15% after 100 tickets.
So, price after discount is
[tex]Price = \frac{15}{100} * 952\\\\Price = 142.8[/tex]
The school got a discount of $142.8
So,
Price of remaining 56 tickets after discount = $952 - $142.8
= $809.2
Total amount to be paid by the school for the fair = C(100) + C(56) after discount
= $1700 + $809.2
= $2509.2
Therefore, total amount paid by the school for the world fair is $2509.2.