a rental car company charges a base fee of $40 plus $0.25 per mile for the first 100 miles the car is…

a rental car company charges a base fee of $40 plus $0.25 per mile for the first 100 miles the car is driven. the company charges the same base fee plus a reduced price of $0.18 per mile for cars driven over 100 miles. the piecewise function below represents the different amounts the company charges.\n$y = \\begin{cases}40 + 0.25m, & mleq100 \\\\ 40 + 0.18m, & m > 100\\end{cases}$\nif someone drives their rental car 150 miles, how much will they owe the rental company?\n$37.50\n$77.50\n$67.00\n$27.00

a rental car company charges a base fee of $40 plus $0.25 per mile for the first 100 miles the car is driven. the company charges the same base fee plus a reduced price of $0.18 per mile for cars driven over 100 miles. the piecewise function below represents the different amounts the company charges.\n$y = \\begin{cases}40 + 0.25m, & mleq100 \\\\ 40 + 0.18m, & m > 100\\end{cases}$\nif someone drives their rental car 150 miles, how much will they owe the rental company?\n$37.50\n$77.50\n$67.00\n$27.00

Answer

Explanation:

Step1: Identify the applicable function

Since $m = 150>100$, we use $y = 40+0.18m$.

Step2: Substitute the value of $m$

Substitute $m = 150$ into $y = 40+0.18m$, so $y=40 + 0.18\times150$.

Step3: Calculate the result

First, calculate $0.18\times150 = 27$. Then $y=40 + 27=67$.

Answer:

$67.00$