Graph the Function $\$ 50$ For the First 50 Miles And $\$ 5$

question 414

Multiple Choice

Graph the function.
-The charges for renting a moving van are $\$ 50$ for the first 50 miles and $\$ 5$ for each additional mile. Assume that a fraction of a mile is rounded up. (i) Determine the cost of driving the van 96 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 $f$ as a piecewise-constant function.)

• A) \(\$ 5030 ; f ( x ) = \left\{ \begin{array} { l l } 50 x & \text { if } 0 < x \leq 50 \\ 50 + 5 ( x - 50 ) & \text { if } 50 < x \leq 100 \end{array} \right.\)
• B) \(\$ 780 ; f ( x ) = \left\{ \begin{array} { l l } 50 & \text { if } 0 < x \leq 50 \\ 50 + 5 ( x + 50 ) & \text { if } 50 < x \leq 100 \end{array} \right.\)
• C) \(\$ 780 ; f ( x ) = \left\{ \begin{array} { l l } 50 & \text { if } 0 < x \leq 50 \\ 50 + 5 ( x - 50 ) & \text { if } 50 < x \leq 100 \end{array} \right.\)
• D) \(\$ 280 ; f ( x ) = \left\{ \begin{array} { l l } 50 & \text { if } 0 < x \leq 50 \\ 50 + 5 ( x - 50 ) & \text { if } 50 < x \leq 100 \end{array} \right.\)