Question
Crystal earns $5.50 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 3 hours and 45 minutes?
m(h) = 5.50h; $18.98
; $0.68
m(h) = 3h + 45; $61.50
m(h) = 5.50h; $20.63
m(h) = 5.50h; $18.98
; $0.68
m(h) = 3h + 45; $61.50
m(h) = 5.50h; $20.63
Answers
GPT-4o mini
The rule to describe how the amount of money \( m \) earned is a function of the number of hours \( h \) spent mowing lawns is:
\[ m(h) = 5.50h \]
To find out how much Crystal earns if she works 3 hours and 45 minutes, we first need to convert 45 minutes to hours. There are 60 minutes in an hour, so:
\[
45 \text{ minutes} = \frac{45}{60} \text{ hours} = 0.75 \text{ hours}
\]
Now, if she works a total of 3 hours and 45 minutes, that is:
\[
h = 3 + 0.75 = 3.75 \text{ hours}
\]
Now we can calculate her earnings:
\[
m(3.75) = 5.50 \times 3.75
\]
Calculating:
\[
m(3.75) = 5.50 \times 3.75 = 20.625
\]
Therefore, Crystal earns approximately **$20.63** when rounded to two decimal places.
So the correct rule is:
\[ m(h) = 5.50h \]
And the amount she earns for 3 hours and 45 minutes is **$20.63**.
\[ m(h) = 5.50h \]
To find out how much Crystal earns if she works 3 hours and 45 minutes, we first need to convert 45 minutes to hours. There are 60 minutes in an hour, so:
\[
45 \text{ minutes} = \frac{45}{60} \text{ hours} = 0.75 \text{ hours}
\]
Now, if she works a total of 3 hours and 45 minutes, that is:
\[
h = 3 + 0.75 = 3.75 \text{ hours}
\]
Now we can calculate her earnings:
\[
m(3.75) = 5.50 \times 3.75
\]
Calculating:
\[
m(3.75) = 5.50 \times 3.75 = 20.625
\]
Therefore, Crystal earns approximately **$20.63** when rounded to two decimal places.
So the correct rule is:
\[ m(h) = 5.50h \]
And the amount she earns for 3 hours and 45 minutes is **$20.63**.