To create a function that describes how much money Crystal earns based on the hours she works, we can define it as follows:
Let \( m \) represent the money earned, and \( h \) represent the number of hours worked. The rule can be expressed as:
\[ m = 5.25h \]
Now, to determine how much Crystal earns if she works 2 hours and 15 minutes, we first need to convert the 15 minutes into hours.
15 minutes is equal to:
\[ \frac{15}{60} = 0.25 \text{ hours} \]
So, 2 hours and 15 minutes is:
\[ h = 2 + 0.25 = 2.25 \text{ hours} \]
Now, we can substitute \( h = 2.25 \) into the earnings equation:
\[ m = 5.25 \times 2.25 \]
Calculating this:
\[ m = 5.25 \times 2.25 = 11.8125 \]
Thus, Crystal earns $11.81 when rounded to the nearest cent after working 2 hours and 15 minutes.
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