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------------------------------------------------ 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?

[tex]
\begin{array}{l}
8c + 42 = 186 \\
8(c + 42) = 186 \\
42(c + 8) = 186 \\
42c + 8 = 186 \\
\end{array}
[/tex]

Sure! Let's solve this step-by-step:

Rosanne paid for an Introduction to Painting course where the cost includes 8 painting classes, and she also bought a beginner's painting kit for \[tex]$42. The total amount she paid is \$[/tex]186. We need to find the cost, [tex]$ c $[/tex], of each painting class.

Here’s how to set up and solve the equation:

1. Identify the costs involved in the total payment:
- Cost of 8 painting classes.
- Cost of the painting kit.

2. Express these costs in terms of [tex]$ c $[/tex]:
- Cost of 8 painting classes is [tex]$ 8c $[/tex].
- Cost of the painting kit is \[tex]$42.

3. Write the equation for the total cost:
- Total cost = Cost of 8 painting classes + Cost of the painting kit
- So, we can write: $ 8c + 42 = 186 $.

Therefore, the equation we use to find the cost $ c $ of each painting class is:
\[ 8c + 42 = 186. \]

This equation will allow us to solve for $ c $. Here is the step-by-step solution:

1. Subtract 42 from both sides of the equation to isolate the term with $ c $:
\[ 8c + 42 - 42 = 186 - 42 \]
\[ 8c = 144 \]

2. Divide both sides by 8 to solve for $ c $:
\[ \frac{8c}{8} = \frac{144}{8} \]
\[ c = 18 \]

So, the cost of each painting class is $ \$[/tex]18 $.