A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven.

Given:
S = 0.40M + 15.75
I = 0.15 M + 3.70
Let's find the equation for total charge C.
Let's write an equation relating C to M.
To write the equation, we have:
[tex]C=S+I[/tex]Now, add both equations:
[tex]\begin{gathered} C=(0.40M)+15.75)+(0.15M+3.70) \\ \\ \text{ Remove parentheses and combine like terms:} \\ C=0.40M+0.15M+15.75+3.70 \\ \\ C=0.55M+19.45 \end{gathered}[/tex]Therefore, the equation relating C to M is:
C = 0.55M + 19.45
ANSWER:
C = 0.55M + 19.45