Q5 - Algebra 1

Question

Write an algebraic expression for each verbal expression.

5. CAR RENTAL the XYZ Car Rental Agency charges a flat rate of \( 29 per day plus \) 0.32 per mile driven. Write an algebraic expression for the rental cost of a car for x days that is driven y miles.

Step-by-Step Solution

Answer

An algebraic expression for the rental cost of a car for x days that is driven y miles is  $29x+0.32y.$

Step 1. Given information.

We have a Car Rental Agency which is charges a flat rate of $ 29 per day plus $ 0.32 per mile driven.

To find an algebraic expression for the rental cost of a car for x days that is driven by y miles.

Step 2. Calculation.

The rental cost of the car per day is $29.

The rental cost of the car for the x days $$\begin{gathered} =29\times x \\ =29x \end{gathered}$$

The rental cost of the car the per mile driven is $0.32 

The rental cost of the car for the y miles driven $$\begin{gathered} =0.32\times y \\ =0.32y \end{gathered}$$

                                                                        

Step 3. Conclusion.

The total rental cost of a car for x days that is driven y miles is:

$29x+0.32y$

Hence, an algebraic expression for the rental cost of a car for x days that is driven y miles is $29x+0.32y$.