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

question 178

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

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Definitions:

MRP

Stands for Marginal Revenue Product, which is the additional revenue produced by hiring or utilizing an additional unit of a resource.

Output Increases

A situation where the production capacity of an economy grows, leading to more goods and services being available.

Productivity Rises

An increase in the efficiency of production, often leading to more output with the same or fewer inputs.

Relative Prices

The price of a commodity or service in comparison to another, indicating its opportunity cost and economic choice.