Question
Kasey works in a hospital as an hourly employee. She works a minimum of 40 hours a week, frequently more, and gets paid $15.00 per hour plus double pay for overtime. Her supervisor recently offered her a new job with a set salary of $600. She thinks that the hourly rate is better income than the salary. Use estimation to verify which option provides the most income potential and why. (1 point) Responses The hourly rate gives you the most income for a 40-hour week. The hourly rate gives you the most income for a 40-hour week. The hourly rate gives you the most income since you work overtime. The hourly rate gives you the most income since you work overtime. The salary rate gives you the most income for a 40-hour week. The salary rate gives you the most income for a 40-hour week. There isn't any difference between the two rates.
Answers
GPT-4o mini
To estimate which option provides the most income potential for Kasey, let's do a quick comparison based on a typical work week.
1. **Hourly Rate Calculation**:
- Kasey works a minimum of 40 hours a week.
- Her hourly rate is $15.00.
- For 40 hours:
\[
40 \text{ hours} \times 15 \text{ dollars/hour} = 600 \text{ dollars}
\]
- If she works overtime (let's assume she works an extra 10 hours, which is common for her), the overtime pay is paid at double her hourly rate. So for those 10 hours:
\[
10 \text{ hours} \times (15 \text{ dollars/hour} \times 2) = 10 \text{ hours} \times 30 \text{ dollars/hour} = 300 \text{ dollars}
\]
- Total pay with 10 hours of overtime:
\[
600 \text{ dollars} + 300 \text{ dollars} = 900 \text{ dollars}
\]
2. **Salary Calculation**:
- The salary offered by her supervisor is $600 per week.
3. **Comparison**:
- If Kasey only works 40 hours, both the hourly rate and the salary yield $600.
- However, if she works any overtime (which she frequently does), her pay rises significantly above the salary. For example, with just 10 hours of overtime, she would earn $900.
Based on this estimation, **the hourly rate gives you the most income since you work overtime.** Therefore, Kasey should consider staying in her current position unless her role's future salary also accounts for the same overtime potential.
1. **Hourly Rate Calculation**:
- Kasey works a minimum of 40 hours a week.
- Her hourly rate is $15.00.
- For 40 hours:
\[
40 \text{ hours} \times 15 \text{ dollars/hour} = 600 \text{ dollars}
\]
- If she works overtime (let's assume she works an extra 10 hours, which is common for her), the overtime pay is paid at double her hourly rate. So for those 10 hours:
\[
10 \text{ hours} \times (15 \text{ dollars/hour} \times 2) = 10 \text{ hours} \times 30 \text{ dollars/hour} = 300 \text{ dollars}
\]
- Total pay with 10 hours of overtime:
\[
600 \text{ dollars} + 300 \text{ dollars} = 900 \text{ dollars}
\]
2. **Salary Calculation**:
- The salary offered by her supervisor is $600 per week.
3. **Comparison**:
- If Kasey only works 40 hours, both the hourly rate and the salary yield $600.
- However, if she works any overtime (which she frequently does), her pay rises significantly above the salary. For example, with just 10 hours of overtime, she would earn $900.
Based on this estimation, **the hourly rate gives you the most income since you work overtime.** Therefore, Kasey should consider staying in her current position unless her role's future salary also accounts for the same overtime potential.