Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for [tex]\$35[/tex], then took 5 hours of group snowboarding lessons. Victor paid [tex]\$175[/tex] in all.

Which equation can you use to find how much Snowy Ridge charges, [tex]x[/tex], for each hour of group snowboarding lessons?

A. [tex]5x + 35 = 175[/tex]

B. [tex]35x + 5 = 175[/tex]

C. [tex]35(x + 5) = 175[/tex]

D. [tex]5(x + 35) = 175[/tex]

To find out how much Snowy Ridge charges per hour for group snowboarding lessons, let's break down the problem step by step.

1. Understand the Situation:
- Victor rented a snowboard for [tex]$35.
- He took 5 hours of snowboarding lessons.
- The total amount he paid was $[/tex]175.

2. Set Up the Equation:
- Let [tex]$ x $[/tex] be the cost per hour for the group snowboarding lessons.
- The rental cost for the snowboard is [tex]$35.
- The total cost for 5 hours of lessons would be $ 5 \times x $.
- The equation representing the total cost is:

\[
5x + 35 = 175
\]

3. Solve the Equation:
- Start by subtracting 35 from both sides to isolate terms involving $ x $:

\[
5x = 175 - 35
\]

- Simplify the right side:

\[
5x = 140
\]

- Next, divide both sides by 5 to solve for $ x $:

\[
x = \frac{140}{5}
\]

- Simplify the division:

\[
x = 28
\]

4. Conclusion:
- Snowy Ridge charges $[/tex]28 per hour for each group snowboarding lesson.

Thus, the correct equation to determine the charge per hour for the lessons is [tex]$ 5x + 35 = 175 $[/tex], and the cost per hour is $28.