Question
The amount of money that Sarah earns varies directly with the number of hours worked. If Sarah earns $320 for working 40 hours, determine the constant of proportionality.(1 point)
$
per hour (Remember to include the hundredths place, two digits after the decimal.)
$
per hour (Remember to include the hundredths place, two digits after the decimal.)
Answers
GPT-4o mini
To find the constant of proportionality (the rate at which Sarah earns per hour), we can use the formula for direct variation:
\[
\text{Earnings} = \text{Rate} \times \text{Hours Worked}
\]
We know that Sarah earns $320 for working 40 hours. We can rearrange the formula to find the rate:
\[
\text{Rate} = \frac{\text{Earnings}}{\text{Hours Worked}} = \frac{320}{40} = 8
\]
Thus, the constant of proportionality is:
\[
8.00 \text{ dollars per hour}
\]
So, the answer is:
**$8.00 per hour**
\[
\text{Earnings} = \text{Rate} \times \text{Hours Worked}
\]
We know that Sarah earns $320 for working 40 hours. We can rearrange the formula to find the rate:
\[
\text{Rate} = \frac{\text{Earnings}}{\text{Hours Worked}} = \frac{320}{40} = 8
\]
Thus, the constant of proportionality is:
\[
8.00 \text{ dollars per hour}
\]
So, the answer is:
**$8.00 per hour**