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Motor home cost. The Robinsons rented a motor home for one week to go on vacation. It cost them \(594 plus \)0.32 per mile to rent the motor home, so the linear equationy=594+0.32x gives the cost, y , for driving x miles. Calculate the rental cost for driving 400, 800, and 1200 miles, and then graph the line.

Short Answer

Expert verified
  • The rental costs of motor home for driving 400, 800, and 1200 miles are $722, $850 and $978 respectively.
  • The graph is as follows,

Step by step solution

01

Step 1. Given information.

The cost of motor home is given by linear equation y=594+0.32xfor driving x miles.

  • Find the rental cost for driving 400, 800, and 1200 miles.
  • Graph the line.
02

Step 2. Explanation.

Make a table to draw the graph.

Let x=400,

role="math" localid="1647400433723" y=594+0.32xy=594+0.32400y=722

Let x=800.

y=594+0.32xy=594+0.32800y=850

Let x=1200

role="math" localid="1647400563063" y=594+0.32xy=594+0.321200y=978

Table becomes as follows,

xyx,y
400722400,722
800850800,850
12009781200,978
03

Step 3. Draw the graph.

Distance can not be negative. So domain of the function is x|x≥0. The graph is as follows,

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