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.

Question

$ blank per hour. (Remember to include your answer to the hundredths place: 2 numbers after the decimal.)

Answer 1

To find the constant of proportionality, we need to determine how much Sarah earns per hour. Since we know she earns $320 for 40 hours of work, we can use the formula:

\[ \text{Earnings per hour} = \frac{\text{Total Earnings}}{\text{Total Hours Worked}} \]

Substituting in the values:

\[ \text{Earnings per hour} = \frac{320}{40} = 8 \]

So, Sarah earns $8 per hour.

Thus, the constant of proportionality is:

\[ \boxed{8.00} \]