Karen makes $4500 per month working full time. If she meets her productivity goal she gets a $2500 bonus. If she gets her bonus, what is the DIFFERENCE in her hourly rate with and without the bonus?

To find the difference in Karen's hourly rate with and without the bonus, follow these steps:

### Step 1: Calculate her monthly earnings without the bonus.
Karen's monthly salary without the bonus is $4,500.

### Step 2: Calculate her monthly earnings with the bonus.
If Karen meets her productivity goal, she earns an additional $2,500, making her total monthly earnings:
\[
\text{Total earnings with bonus} = 4500 + 2500 = 7000 \text{ dollars}
\]

### Step 3: Determine the number of hours she works per month.
Assuming Karen works full-time, typically this would mean she works 40 hours per week. To find the number of hours she works per month:
\[
\text{Hours per month} = 40 \text{ hours/week} \times 4.33 \text{ weeks/month} \approx 173.2 \text{ hours/month}
\]

### Step 4: Calculate her hourly rate without the bonus.
Her hourly rate without the bonus is:
\[
\text{Hourly rate without bonus} = \frac{4500}{173.2} \approx 25.98 \text{ dollars/hour}
\]

### Step 5: Calculate her hourly rate with the bonus.
Her hourly rate with the bonus is:
\[
\text{Hourly rate with bonus} = \frac{7000}{173.2} \approx 40.41 \text{ dollars/hour}
\]

### Step 6: Find the difference in the hourly rates.
The difference between the hourly rates with and without the bonus is:
\[
\text{Difference} = 40.41 - 25.98 \approx 14.43 \text{ dollars/hour}
\]

So, the difference in her hourly rate with and without the bonus is **$14.43 per hour**.

Would you like further details or have any questions? 

Here are 5 related questions you might find useful:
1. How would the hourly rate change if the bonus were $3,000 instead of $2,500?
2. What would be Karen's annual earnings with and without the bonus?
3. How does the number of hours worked per month affect the hourly rate?
4. If Karen works overtime, how would this impact her hourly rate calculation?
5. How would changes in her monthly salary affect her hourly rate?

**Tip:** When calculating hourly rates, always confirm the number of work hours per month, as this can vary depending on the work schedule (e.g., holidays, overtime).

Learn how to calculate the difference in Karen's hourly rate with and without a productivity bonus. Understand the arithmetic involved in determining her monthly earnings, hourly rates, and the impact of a $2,500 bonus. Suitable for adults seeking to understand salary calculations and productivity bonuses.

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