The problem ask us to find C, which is the total cost of the rental and the insurance.
Then, to find C in terms of M, we need to add the functions S and I:
Standard charge:
S(M) = 16.15 + 0.6M
Insurance Fee:
I(M) = 4.9 + 0.15M
Then the function C(M) that represents the total charge for a rental with insurance, after driving M miles is:
[tex]C(M)=S(M)+I(M)[/tex]
Then write:
[tex]\begin{gathered} C(M)=16.15+0.6M+4.9+0.15M \\ \end{gathered}[/tex][tex]C(M)=21.85+0.75M[/tex]
The answer is:
[tex]C(M)=21.85+0.75M[/tex]
