26. car rental ann carlyle is planning a business trip for which she needs to rent a car. the car rental…
26. car rental ann carlyle is planning a business trip for which she needs to rent a car. the car rental company charges $36 per day plus $0.50 per mile over 100 miles. suppose ms. carlyle rents the car for 5 days and drives 180 miles.\na. write an expression for how much it will cost ms. carlyle to rent the car.\nb. evaluate the expression to determine how much ms. carlyle must pay the car rental company.
Answer
Explanation:
Step1: Calculate daily - rental cost
The daily - rental cost is $36 per day and she rents for 5 days. So the cost for the number of days is $36\times5$.
Step2: Calculate mileage - based cost
She drives 180 miles. The number of miles over 100 is $180 - 100=80$ miles. The cost for the extra miles is $0.5\times(180 - 100)$.
Step3: Write the total - cost expression
The total cost $C$ is the sum of the daily - rental cost and the mileage - based cost. So the expression is $C = 36\times5+0.5\times(180 - 100)$.
Step4: Evaluate the expression
First, calculate $36\times5 = 180$ and $0.5\times(180 - 100)=0.5\times80 = 40$. Then, $C=180 + 40=220$.
Answer:
a. $36\times5+0.5\times(180 - 100)$ b. $220$