We have the cost function:
[tex]C(n)=15n+75[/tex]a) We have to calculate C(4):
[tex]C(4)=15\cdot4+75=60+75=135[/tex]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:
[tex]\begin{gathered} 15n+75=165 \\ 15n=165-75=90 \\ n=\frac{90}{15}=6 \end{gathered}[/tex]The numbers of campers for this budget is 6 campers.
