Question

mayas car is in the shop for repairs that should take one day to complete. she found a local car rental company that charges a fee of \\$15 each day plus 17 cents per mile for the first 150 miles, and then charges 23 cents per mile for miles in excess of 150 miles. the following function is used to calculate the daily cost of driving the car x miles.

\\c(x) = \

$$\begin{cases} 0.17x + 15 & \\text{if } 0 \\le x \\le 150 \\\\ 0.4x - 19.5 & \\text{if } x > 150 \\end{cases}$$

\\

compute the cost of each of the following number of miles driven in one day.

(a) 69
(b) 127
(c) 180

Explanation:

Evaluate C(69)

$$
LATEXBLOCK0
$$

Evaluate C(127)

$$
LATEXBLOCK1
$$

Evaluate C(180)

$$
LATEXBLOCK2
$$

Answer:

Question a

\(C(69) = \$26.73\)

Question b

\(C(127) = \$36.59\)

Question c

\(C(180) = \$52.50\)