Question

Suppose a mom uses the following formula for the cost, C, in dollars of acamping trip if there are n campers going on the trip.C = 15n + 75a. Calculate C(4). =______dollarsb. Explain in practical terms what your answer means in terms of campers.______c. How many campers can go if her budget is $165?=_______campers

Answer 1

We have the cost function:

`C(n)=15n+75`

a) We have to calculate C(4):

`C(4)=15\cdot4+75=60+75=135`

C(4) = 135

b) We have two parts in the cost function: one is fixed, or independent of the number of campers, and the other is variable or dependent of the number of campers.

In this case, the total budget for 4 campers is $135.

c) If the budget is $165, the number of campers is:

`\begin{gathered} 15n+75=165 \\ 15n=165-75=90 \\ n=(90)/(15)=6 \end{gathered}`

The numbers of campers for this budget is 6 campers.