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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?

Short Answer

Expert verified
  • Equation that relates the cost C, in dollars, of renting the truck to the number xof 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 by step solution

01

Step 1. Given information 

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

02

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.
03

Step 3. Finding the linear equation

The required equation is:C=0.20x+29

04

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=0.2×110+29

role="math" localid="1646124751065" C=51

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

Put role="math" localid="1646124648271" x=230in the above linear equation

C=0.2×230+29

role="math" localid="1646124740363" C=75

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