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The problem states that Daniel earns $6 per hour as a waiter and $5 per table in tips. He worked for 7 hours and earned a total of $150.

Let's break this down:

1. **Hourly wage**: He worked for 7 hours, and he earns $6 per hour.
   So, the total from his hourly wage is $ 6 \times 7 = 42 $ dollars.

2. **Tips per table**: He earns $5 for each table served, and we don't know the number of tables, which is represented by $ t $.

3. **Total earnings**: His total earnings were $150, so we can write the equation as:
   \[
   6(7) + 5t = 150
   \]
   Simplifying, $ 6(7) = 42 $, so the equation becomes:
   \[
   42 + 5t = 150
   \]
   Solving for $ t $, subtract 42 from both sides:
   \[
   5t = 108
   \]
   Divide both sides by 5:
   \[
   t = 21.6
   \]
   So, Daniel must have served approximately 21 to 22 tables to earn a total of $150.

The equation that best represents this situation is the second option:
\[
5t + 6(7) = 150
\]

Would you like more details on how to solve such problems?

Here are 5 related questions you might consider:
1. How would the equation change if Daniel worked for 8 hours?
2. What if the tip per table increased to $6? How would the solution differ?
3. How can we express this problem if Daniel worked multiple shifts during the week?
4. Can this problem be represented as a system of equations if another variable is introduced (e.g., if the hourly wage varied)?
5. How would you graph the equation $ 5t + 42 = 150 $?

**Tip**: In word problems, break down the problem into known values and unknowns, then build an equation step-by-step!

Daniel earns $6 per hour as a waiter plus an average of $5 per table (t) in tips. On Friday, he worked for 7 hours and earned $150. Which equation best represents this situation?

Learn how to represent the earnings of a waiter using linear equations. Daniel earns $6 per hour and receives $5 per table in tips. After working 7 hours and earning $150, the correct equation to represent this situation is 5t + 6(7) = 150. This problem introduces key concepts in algebra and linear equations. Suitable for students in Grades 6-8.

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