To determine your total pay for working 47 hours with overtime, we can break it down into regular hours and overtime hours.

1. Regular Hours Pay: You work 40 regular hours at your normal rate of $\$7.50$ per hour. $\text{Regular Pay} = 40 \times 7.50 = 300 \text{ dollars}$

2. Overtime Pay: You work 7 overtime hours, and your overtime rate is $1.5$ times your normal rate. $\text{Overtime Rate} = 1.5 \times 7.50 = 11.25 \text{ dollars per hour}$ $\text{Overtime Pay} = 7 \times 11.25 = 78.75 \text{ dollars}$

3. Total Pay: Add the regular pay and overtime pay to get the total pay. $\text{Total Pay} = 300 + 78.75 = 378.75 \text{ dollars}$

So, you will get paid $378.75 for working 47 hours.

Would you like any further details or have any questions? Here are some related questions you might consider:

1. How much would you earn if you worked 50 hours in a week?
2. What would your total pay be if your normal rate was increased to $8.00 per hour?
3. How would your total pay change if you worked 60 hours in a week?
4. How much overtime pay would you receive if you only worked 5 overtime hours?
5. What would your total earnings be after working 47 hours for two weeks in a row?
6. If your overtime rate was double your normal rate, how much would you earn for 47 hours?
7. How many hours would you need to work to earn $500 in a week?
8. What is the minimum number of hours you need to work overtime to exceed $400 in total earnings?

Tip: When calculating overtime pay, always remember to separate regular hours and overtime hours to apply the correct rate to each.