During fall break, you charge people $13 per hour for line dance lessons and a $25 registration fee. If you make $103 one day, how many hours did you spend teaching lessons? Write an equation that can be used to find the number of hours h that your spend teaching line dance lessons

Algebraic Equation:

Solve the equation.:

### Algebraic Equation:
The total amount you make is the sum of the registration fee and the amount earned from teaching line dance lessons. If you charge $13 per hour and a $25 registration fee, and you made $103, the equation can be written as:

\[
13h + 25 = 103
\]

Where:
- $ h $ represents the number of hours you spent teaching.

### Solve the Equation:
To solve for $ h $, follow these steps:

1. Subtract the registration fee ($25) from both sides:
\[
13h + 25 - 25 = 103 - 25
\]
\[
13h = 78
\]

2. Divide both sides by 13 to find $ h $:
\[
h = \frac{78}{13}
\]
\[
h = 6
\]

### Answer:
You spent **6 hours** teaching line dance lessons that day.

Would you like more details or have any questions?

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Here are 5 related questions to further your understanding:
1. What would be the equation if the registration fee was $30 instead of $25?
2. How much money would you make if you taught for 8 hours in one day?
3. How many hours would you need to teach to make $200 in total?
4. What would the equation be if you reduced your hourly rate to $10 per hour?
5. If two people register, how would that affect the total amount you make?

**Tip:** When solving equations, isolate the variable step by step by undoing operations in reverse order (start with addition/subtraction, then multiplication/division).

During fall break, you charge people $13 per hour for line dance lessons and a $25 registration fee. If you make $103 one day, how many hours did you spend teaching lessons? Write an equation that can be used to find the number of hours h that you spend teaching line dance lessons.

Learn how to solve a linear equation based on a line dance lesson scenario, where you charge $13 per hour plus a $25 registration fee. This step-by-step solution helps find how many hours were spent teaching to earn a total of $103. Ideal for students in Grades 6-8.

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