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.
$ blank per hour. (Remember to include your answer to the hundredths place: 2 numbers after the decimal.)
$ blank per hour. (Remember to include your answer to the hundredths place: 2 numbers after the decimal.)
Answers
GPT-4o mini
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:
\[
\boxed{8.00}
\]
\[
\text{Earnings per hour} = \frac{\text{Total Earnings}}{\text{Total Hours Worked}}
\]
Substituting in the values:
\[
\text{Earnings per hour} = \frac{320}{40} = 8
\]
So, Sarah earns $8 per hour.
Thus, the constant of proportionality is:
\[
\boxed{8.00}
\]