Question

Jen receives $850 a week, and Sami takes in $38,000 a year. Who has the higher monthly salary, and by how much?

(1 point)
Responses

Sami's monthly salary is $766.67 more than Jen's.

Sami's monthly salary is $766.67 more than Jen's.

Jen's monthly salary is $766.67 more than Sami's.

Jen's monthly salary is $766.67 more than Sami's.

Sami's monthly salary is $516.67 more than Jen's.

Sami's monthly salary is $516.67 more than Jen's.

Jen's monthly salary is $516.67 more than Sami's.

Answer 1

To determine who has the higher monthly salary and by how much, we need to convert both Jen's weekly salary and Sami's annual salary into a monthly salary.

1. **Jen's Monthly Salary:**
- Jen receives $850 per week.
- There are approximately 4.33 weeks in a month (52 weeks in a year / 12 months).
- Jen's monthly salary = \( 850 \text{ dollars/week} \times 4.33 \text{ weeks/month} \approx 3,686.50 \text{ dollars/month} \).

2. **Sami's Monthly Salary:**
- Sami earns $38,000 a year.
- To find the monthly salary, divide the annual salary by 12 months.
- Sami's monthly salary = \( \frac{38,000 \text{ dollars}}{12} \approx 3,166.67 \text{ dollars/month} \).

3. **Comparison:**
- Jen's monthly salary: approximately $3,686.50
- Sami's monthly salary: approximately $3,166.67

Now, let's find the difference:
- Difference = Jen's monthly salary - Sami's monthly salary
- Difference = \( 3,686.50 - 3,166.67 \approx 519.83 \)

So, Jen's monthly salary is approximately $519.83 more than Sami's.

Now, looking at your options, none exactly match our calculation of approximately $519.83, but since the closest calculation is $516.67, it could be an acceptable rounding choice.

In conclusion:
**Jen's monthly salary is $516.67 more than Sami's.**

Correct Response would be:
**Jen's monthly salary is $516.67 more than Sami's.**