As an employee, would you have a higher final income after being given a $1800 raise at the end of each year for 5 years or a $300 raise at the end of each quarter for 5 years?
Calculating the total raise after a $1800 raise at the end of each year for 5 years gives _____ · $1800 = $ ______ . Calculating the total raise after a $300 raise at the end of each quarter for 5 years gives ____ · $300 = $ ____ .

Let's break down the calculations for both scenarios:

1. **Annual Raise of $1800:**
   - The raise is given at the end of each year for 5 years.
   - Total number of raises: $ 5 $
   - Total raise amount: $ 5 \times 1800 = 9000 $ dollars

2. **Quarterly Raise of $300:**
   - The raise is given at the end of each quarter for 5 years.
   - There are 4 quarters in a year, so over 5 years, there are $ 4 \times 5 = 20 $ quarters.
   - Total raise amount: $ 20 \times 300 = 6000 $ dollars

Thus, filling in the blanks:
- Calculating the total raise after a $1800 raise at the end of each year for 5 years gives **5** · $1800 = **$9000**.
- Calculating the total raise after a $300 raise at the end of each quarter for 5 years gives **20** · $300 = **$6000**.

### Final Answer:
- You would have a higher final income with the $1800 raise at the end of each year for 5 years.

Do you want more details or have any questions? Here are some related questions:

1. How would the results change if the raises were invested with interest?
2. What if the annual raise was $1500 instead of $1800? How would that compare?
3. How does the timing of raises affect the overall increase in salary?
4. What would be the total raise if the quarterly raise was $400 instead of $300?
5. How would these raises compare if the duration was 10 years instead of 5?

**Tip:** When comparing financial options, it's important to consider not only the total amount but also the timing of payments, as earlier payments can be invested or spent sooner.

Compare the financial impact of receiving a $1800 raise annually versus a $300 raise quarterly over 5 years. Understand how timing affects income growth. Suitable for Grades 7-9.

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