Question
Crystal earns $5.25 per hour mowing lawns. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns. How much does Crystal earn if she works 2 hours and 15 minutes?
m(h) = 5.25h; $11.29
m(h) = 2h + 15; $25.50
; $0.43
m(h) = 5.25h; $11.81
m(h) = 5.25h; $11.29
m(h) = 2h + 15; $25.50
; $0.43
m(h) = 5.25h; $11.81
Answers
GPT-4o mini
To model Crystal's earnings as a function of the number of hours worked, we can use the following rule:
\[ m(h) = 5.25h \]
where:
- \( m \) is the total money earned,
- \( h \) is the number of hours worked,
- $5.25 is the hourly wage.
To find out how much Crystal earns if she works 2 hours and 15 minutes, we first need to convert the time into hours.
2 hours and 15 minutes can be expressed as:
\[ 2 \text{ hours} + \frac{15 \text{ minutes}}{60} = 2 + 0.25 = 2.25 \text{ hours} \]
Now we can substitute \( h = 2.25 \) into the earnings function:
\[ m(2.25) = 5.25 \times 2.25 \]
Calculating this:
\[ m(2.25) = 5.25 \times 2.25 = 11.8125 \]
Therefore, Crystal earns approximately $11.81 when she works for 2 hours and 15 minutes.
So, the correct answer is:
**m(h) = 5.25h; $11.81**
\[ m(h) = 5.25h \]
where:
- \( m \) is the total money earned,
- \( h \) is the number of hours worked,
- $5.25 is the hourly wage.
To find out how much Crystal earns if she works 2 hours and 15 minutes, we first need to convert the time into hours.
2 hours and 15 minutes can be expressed as:
\[ 2 \text{ hours} + \frac{15 \text{ minutes}}{60} = 2 + 0.25 = 2.25 \text{ hours} \]
Now we can substitute \( h = 2.25 \) into the earnings function:
\[ m(2.25) = 5.25 \times 2.25 \]
Calculating this:
\[ m(2.25) = 5.25 \times 2.25 = 11.8125 \]
Therefore, Crystal earns approximately $11.81 when she works for 2 hours and 15 minutes.
So, the correct answer is:
**m(h) = 5.25h; $11.81**