Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for 35 $, then took 5 hours of group snowboarding lessons. Victor paid 175 $ in all. Which equation can you use to find how much Snowy Ridge charges, x, for each hour of group snowboarding lessons? Choices: (A)35(x + 5) = 175 (B)5x + 35 = 175 (C)5(x + 35) = 175 (D)35x + 5 = 175 How much does Snowy Ridge charge for each hour of group snowboarding lessons? ____ $

Question

Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for 35 $, then took 5 hours of group snowboarding lessons. Victor paid 175 $ in all. Which equation can you use to find how much Snowy Ridge charges, x, for each hour of group snowboarding lessons?   Choices: (A)35(x + 5) = 175 (B)5x + 35 = 175 (C)5(x + 35) = 175 (D)35x + 5 = 175  How much does Snowy Ridge charge for each hour of group snowboarding lessons?   ____ $

Bytelearn · Accepted Answer

Understand the problem: Understand the problem. Victor rented a snowboard for $35 and took 5 hours of lessons, paying a total of $175. We need to find the cost per hour for the lessons, represented by x.Set up the equation: Set up the equation. The total cost is the sum of the fixed cost for renting the snowboard and the variable cost for the lessons. The fixed cost is $35, and the variable cost is 5 times the cost per hour (5x). The equation representing the total cost is therefore 35 + 5x = 175.Identify the correct equation: Identify the correct equation from the choices. Looking at the choices given, the equation that matches our setup is (B) 5x + 35 = 175.Solve the equation for x: Solve the equation for x. Subtract 35 from both sides of the equation to isolate the term with x: 5x + 35 - 35 = 175 - 35 5x = 140 Now, divide both sides by 5 to solve for x: 5x / 5 = 140 / 5 x = 28

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