Question
If Lucy babysits and earns $75 for 5 hours of work, and her earnings and hours worked represent a direct variation, what is her earnings for 6 hours of work?
Answers
GPT-4o mini
To solve for Lucy's earnings for 6 hours of work, we start by determining her rate of pay per hour based on the information given.
Lucy earns $75 for 5 hours of work. We can calculate her hourly rate as follows:
\[
\text{Hourly Rate} = \frac{\text{Total Earnings}}{\text{Total Hours}} = \frac{75}{5} = 15
\]
This means Lucy earns $15 per hour.
To find out how much she will earn for 6 hours of work, we can multiply her hourly rate by the number of hours:
\[
\text{Earnings for 6 hours} = \text{Hourly Rate} \times \text{Hours Worked} = 15 \times 6 = 90
\]
Thus, Lucy will earn \$90 for 6 hours of work.
Lucy earns $75 for 5 hours of work. We can calculate her hourly rate as follows:
\[
\text{Hourly Rate} = \frac{\text{Total Earnings}}{\text{Total Hours}} = \frac{75}{5} = 15
\]
This means Lucy earns $15 per hour.
To find out how much she will earn for 6 hours of work, we can multiply her hourly rate by the number of hours:
\[
\text{Earnings for 6 hours} = \text{Hourly Rate} \times \text{Hours Worked} = 15 \times 6 = 90
\]
Thus, Lucy will earn \$90 for 6 hours of work.