The cost of renting a limo has a flat fee of $ 125 plus $ 50 per hour.
a) Find a formula for $C(x)$, the total cost for renting a limo for $x$ hours.
$C(x)=$

b) If the flat fee is raised by $ 40, let $D(x)$ give the new total cost function. Which of the following equations expresses $D(x)$ as a transformation of $C(x)$?

A. $D(x)=C(x+40)$

B. $D(x)=C(x)-40$

C. $D(x)=C(x)+40$

D. $C(x)=D(x)+40$

c) The limo driver increases the flat fee by $ 40, and leaves the cost per hour as $ 50, but includes the first hour for free. Let $F(x)$ give the new total cost. Which of the following equations expresses $F(x)$ as a transformation of $C(x)$?

A. $D(x)=C(x+1)+40$

B. $D(x)=C(x+40)-1$

C. $C(x)=D(x-1)+40$

D. $D(x)=C(x-1)+40$

Hint: