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)

Question

$
per hour (Remember to include the hundredths place, two digits after the decimal.)

Answer 1

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