Q. 115 - Precalculus Enhanced with Graphing Utilities

Question

A truck rental company rents a moving truck for one day by charging \(29 plus \)0.20 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost of renting the truck if the truck is driven 110 miles? 230 miles?

Step-by-Step Solution

Answer

• Equation that relates the cost C, in dollars, of renting the truck to the number $x$ of miles driven is:$C=0.20x+29$
• Cost of renting the truck if the truck is driven 110 miles is: $\$51.00$
• Cost of renting the truck if the truck is driven 230 miles is: $\$75.00$

Step 1. Given information

A truck rental company rents a moving truck for one day by charging $29 plus $0.20 per mile.

Step 2. Required to find

• Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. 
• What is the cost of renting the truck if the truck is driven 110 miles. 
• What is the cost of renting the truck if the truck is driven 230 miles.

Step 3. Finding the linear equation

The required equation is: $C=0.20x+29$

Step 4. Finding the cost of renting the truck

Cost of renting the truck if the truck is driven 110 miles 

Put $x=110$ in the above linear equation

$C=0.2\times 110+29$

$C=51$

Cost of renting the truck if the truck is driven 230 miles 

Put $x=230$ in the above linear equation

$C=0.2\times 230+29$

$C=75$