Question

The equation c=10n + 45 represents the total cost, C dollars, for a sports banquet, when n people attend

A. Determine C(250) and explain what the result represents

B. If the total cost of the banquet is C(n)=4295, find n, the number of people attending

Answer 1

Explanation:

A.

C(250) means

c = 10n + 45 with n = 250

so,

10×250 + 45 = 2500 + 45 = 2545

the costs for a sports banquet with 250 attending people is 2545.

it means that every participant causes costs of 10, and then there are fixed costs of 45 that will always happen, even if there are 0 guests.

B.

C(n) = 4295 = 10n + 45

4250 = 10n

n = 425

when the costs are 4295, then there are 425 guests attending.