Questions: 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 mows lawns for 3 hours and 45 minutes?

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 mows lawns for 3 hours and 45 minutes?

Transcript text: 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 mows lawns for 3 hours and 45 minutes?

Solution

Solution Steps

Step 1: Define the Function Rule

Crystal earns $5.50 per hour mowing lawns. We can express the amount of money, $ m $, earned as a function of the number of hours, $ h $, spent mowing lawns. The rule can be written as:

\[ m(h) = 5.50h \]

Step 2: Convert Time to Decimal Hours

Crystal mows lawns for 3 hours and 45 minutes. To use the function, we need to convert this time into decimal hours.

3 hours and 45 minutes is equivalent to:

\[ 3 + \frac{45}{60} = 3.75 \text{ hours} \]

Step 3: Calculate Earnings

Using the function $ m(h) = 5.50h $, we substitute $ h = 3.75 $ to find the earnings:

\[ m(3.75) = 5.50 \times 3.75 = 20.625 \]

Rounding to four significant digits, we get:

\[ m(3.75) = 20.63 \]