Answer: Let's start by finding Camille's total cost, including the admission fee and raffle tickets, as a function of the number of raffle tickets she buys.
If Camille buys r raffle tickets, then the cost of those tickets is 5r dollars. In addition, we know that her total cost, including admission, is $135. If we subtract the cost of the raffle tickets from her total cost, we get the cost of admission:
Cost of admission = Total cost - Cost of raffle tickets
Admission cost = $135 - 5r
Therefore, the total cost S as a function of the number of raffle tickets r can be expressed as:
S(r) = Admission cost + Cost of raffle tickets
S(r) = $135 - 5r + 5r
S(r) = $135
In other words, the function is a constant function that always gives the value $135, regardless of the number of raffle tickets Camille buys. This is because the cost of admission is independent of the number of raffle tickets she buys, and the cost of the raffle tickets is directly proportional to the number of raffle tickets she buys. Therefore, the function's formula is:
S(r) = $135
Explanation: