Solve the Problem $\$ 50$ For the First 20 Miles And $\$ 8$

Multiple Choice

Solve the problem.
-The charges for renting a moving van are $\$ 50$ for the first 20 miles and $\$ 8$ for each additional mile. Assume that a fraction of a mile is rounded up. (i) Determine the cost of driving the van 88 miles.
(ii) Find a symbolic representation for a function $\mathrm { f }$ that computes the cost of driving the van $\mathrm { x }$ miles, where $0 < x \leq 100$ . (Hint: express $\mathrm { f }$ as a piecewise-constant function.)

A) $\$ 594 ; f ( x ) = \left\{ \begin{array} { l l } 50 & \text { if } 0 < x \leq 20 \\ 50 + 8 ( x - 20 ) & \text { if } 20 < x \leq 100 \end{array} \right.$
B) $\$ 4944 ; f ( x ) = \left\{ \begin{array} { l l } 50 x & \text { if } 0 < x \leq 20 \\ 50 + 8 ( x - 20 ) & \text { if } 20 < x \leq 100 \end{array} \right.$
C) $914; $f ( x ) = \left\{ \begin{array} { l l } 50 & \text { if } 0 < x \leq 20 \\ 50 + 8 ( x + 20 ) & \text { if } 20 < x \leq 100 \end{array} \right.$
D) $\$ 914 ; f ( x ) = \left\{ \begin{array} { l l } 50 & \text { if } 0 < x \leq 20 \\ 50 + 8 ( x - 20 ) & \text { if } 20 < x \leq 100 \end{array} \right.$