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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 and fixed cost: Identify the total cost and the fixed cost.Victor paid a total of for his snowboarding experience. Out of this total, was for renting the snowboard, which is a fixed cost. The rest of the cost is for the snowboarding lessons.
- Determine variable cost: Determine the variable cost.The variable cost is the amount paid for the snowboarding lessons. Since we know the total cost and the fixed cost, we can calculate the variable cost by subtracting the fixed cost from the total cost.Variable cost = Total cost - Fixed cost = = $\(140\)
- Identify number of units: Identify the number of units for the variable cost.\(\newline\)Victor took \(5\) hours of group snowboarding lessons. This is the number of units for which we need to find the cost per unit (\(x\)).
- Write total cost equation: Write the equation to represent the total cost.\(\newline\)The total cost is the sum of the fixed cost and the variable cost (which is the number of units times the cost per unit).\(\newline\)Total cost = Fixed cost + (Number of units \(\times\) Cost per unit)\(\newline\)\(175 \$ = 35 \$ + (5 \times x)\)
- Simplify equation: Simplify the equation to find the correct choice.\(\newline\)To find the equation that represents the situation, we need to express the total cost in terms of \(x\).\(\newline\)\(175 \$\$\) = \(35\) \(\$\) + \(5\)x\)\(\newline\)This equation matches choice (D) \(5x + 35 = 175\).
- Solve for x: Solve the equation for x to find the hourly charge for snowboarding lessons.\(\newline\)\(5x + 35 = 175\)\(\newline\)Subtract \(35\) from both sides:\(\newline\)\(5x = 175 - 35\)\(\newline\)\(5x = 140\)\(\newline\)Divide both sides by \(5\):\(\newline\)\(x = \frac{140}{5}\)\(\newline\)\(x = 28\)
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