Question

Jim needs to rent a car. A rental company charges $\$21.00$ per day to rent a car and $\$0.10$ driven. for every mile.

He will travel $250$ miles.

He has $\$115.00$ to spend.

Write an inequality that can be used to determine $\$115.00$, the maximum number of days that Jim can rent a car.

Answer 1

Step-1: Write the information given in the question:

The fixed charge of the rental company is $\$21.00$ per day.

The additional cost is $\$0.10$ for every mile.

Jim travels $250$ miles.

The amount Jim has to spend is $\$115.00$.

Step-2: Find the value of $d.$

Let the number of days for which Jim rents the car is $d.$

Thus, according to the question,

$$\begin{gathered} 21d+25<115 \\ \Rightarrow 21d<115-25 \\ \Rightarrow 21d<90 \\ \Rightarrow \frac{21d}{21}<\frac{90}{21} \\ \Rightarrow d<4.3 \\ \therefore d=4 \end{gathered}$$

Hence, Jim can rent the car for maximum $4$ days.