Question

For a family of 4, the estimated monthly cost of living in Fort Worth, Texas is $3,784. If there are 2 full-time working adults in the family, what is the average hourly living wage of each in order to support their basic needs? Round your answer to the nearest hundredth.(1 point)
$

Answer 1

To calculate the average hourly living wage required for each adult in a family of 4 to support their monthly cost of living in Fort Worth, Texas, we can follow these steps:

1. **Determine the total monthly expenses**: The total cost of living for the family is given as $3,784.

2. **Calculate the total number of hours worked by both adults**:
Assuming both adults work full-time, a typical full-time job is about 40 hours per week.
\[
40 \text{ hours/week} \times 4 \text{ weeks/month} = 160 \text{ hours/month}
\]
Since there are 2 adults:
\[
160 \text{ hours/adult} \times 2 \text{ adults} = 320 \text{ hours/month}
\]

3. **Calculate the average hourly living wage**: We need to divide the total monthly cost of living by the total hours worked by both adults:
\[
\text{Average hourly wage} = \frac{\text{Total monthly cost}}{\text{Total hours worked}}
\]
\[
\text{Average hourly wage} = \frac{3,784}{320} \approx 11.81
\]

Thus, the average hourly living wage for each adult to support their basic needs would be approximately **$11.81** when rounded to the nearest hundredth.