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!