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Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for , then took hours of group snowboarding lessons. Victor paid in all.Which equation can you use to find how much Snowy Ridge charges, , for each hour of group snowboarding lessons?Choices:(A) (B) (C) (D) How much does Snowy Ridge charge for each hour of group snowboarding lessons?____
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Q. Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for , then took hours of group snowboarding lessons. Victor paid in all.Which equation can you use to find how much Snowy Ridge charges, , for each hour of group snowboarding lessons?Choices:(A) (B) (C) (D) How much does Snowy Ridge charge for each hour of group snowboarding lessons?____
- Identify Total Cost: Identify the total cost and the separate costs involved.Victor paid a total of \) for renting a snowboard and for the snowboarding lessons. The cost of renting the snowboard is a one-time fee of \). The cost of the lessons is based on the number of hours he took the lessons, which is hours.
- Define Variable: Define the variable for the unknown quantity.Let represent the cost per hour for the snowboarding lessons. We need to find the value of .
- Set Up Equation: Set up the equation based on the given information.The total cost is the sum of the cost of renting the snowboard and the cost of the lessons. The cost of the lessons is the number of hours times the cost per hour. Therefore, the equation is: (the cost for hours of lessons) + (the cost of renting the snowboard) = (the total cost).
- Identify Correct Equation: Identify the correct equation from the given choices.The correct equation that represents the situation is:(D)
- Solve for x: Solve the equation for x.Subtract from both sides of the equation to isolate the term with :Now, divide both sides by to solve for :
- Check Solution: Check the solution.Multiply the cost per hour by the number of hours and add the cost of renting the snowboard to ensure it equals the total cost:This matches the total cost given in the problem, so the solution is correct.
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