Rosanne paid for an Introduction to Painting course at Cool Canvas Art Studio. The cost of the course covers 8 painting classes. She also bought a beginner's painting kit for [tex]\$42[/tex]. Rosanne paid [tex]\$186[/tex] in all.

Which equation can you use to find the cost, [tex]c[/tex], of each painting class?

A. [tex]8(c + 42) = 186[/tex]
B. [tex]42c + 8 = 186[/tex]
C. [tex]42(c + 8) = 186[/tex]
D. [tex]8c + 42 = 186[/tex]

To solve this problem, we need to find an equation that represents the cost, [tex]$ c $[/tex], of each painting class. Let's break it down step by step:

1. Understand the Total Amount Paid: Rosanne paid a total of [tex]$186.

2. Identify Different Costs:
- She bought a beginner's painting kit for $[/tex]42.
- She attended 8 painting classes.

3. Setup an Equation:
- Let [tex]$ c $[/tex] represent the cost of one painting class.
- The cost for 8 classes is then [tex]$ 8c $[/tex].
- The total cost includes both the painting classes and the painting kit.

4. Write the Total Cost Equation:
- The total cost Rosanne paid is the sum of the cost of the 8 classes and the painting kit.
- This can be represented by the equation: [tex]$ 8c + 42 = 186 $[/tex].

5. Conclusion:
- The correct equation to find the cost of each painting class is [tex]$ 8c + 42 = 186 $[/tex].

This equation represents the relationship between the total costs and the individual components that make up Rosanne's payment.