Question

question 8
3 pts
given the piecewise function for a car rental company, how much would it cost to rent a car for 4 days?

\\f(x) = \

$$\begin{cases} 40 & x = 1 \\\\ 40 + 25(x - 1) & x > 1 \\end{cases}$$

\\

• $115
• $50
• $40
• $110

Explanation:

Identify the relevant interval

Using the Piecewise Functions knowledge point

$$ \text{For } x = 4, \text{ since } 4 > 1, \text{ use the second piece: } F(x) = 40 + 25(x - 1) $$

Evaluate the function

Using the Piecewise Functions knowledge point

$$ F(4) = 40 + 25(4 - 1) = 40 + 25(3) = 40 + 75 = 115 $$

Answer:

• (A) $115 (Correct answer)
• (B) $50
• (C) $40
• (D) $110