Question

V\During the summer, Patrick paints houses and Michelle works as a lifeguard. To show their earnings, Patrick makes a graph and Michelle makes a table. Who earns more money per hour, and by how much more?


A graph titled Patrick apostrophe s wages has time (hours) on the x-axis, and earnings (dollars) on the y-axis. A line has slope 18.
Michelle's Wages
Time
(hours) Earnings
(dollars)
4 $97
6 $145.50
9 $218.25
Clear Check
whats the answer
patrick, by $19.75
michelle,by $19.75
patrick by $6.25
michelle by $6.25

Answer 1

To determine who earns more money per hour, we can calculate the hourly wage for both Patrick and Michelle based on the given information.

### Patrick's Earnings:
The slope of Patrick's earnings graph is given as 18, which means he earns $18 per hour.

### Michelle's Earnings:
We can calculate Michelle's hourly wage by using the earnings from the given table. We find her hourly rate by taking her earnings and dividing by the time worked for each point.

1. **For 4 hours**:
\[
\text{Hourly Rate} = \frac{97}{4} = 24.25 \, \text{dollars per hour}
\]

2. **For 6 hours**:
\[
\text{Hourly Rate} = \frac{145.50}{6} = 24.25 \, \text{dollars per hour}
\]

3. **For 9 hours**:
\[
\text{Hourly Rate} = \frac{218.25}{9} = 24.25 \, \text{dollars per hour}
\]

### Comparison of Earnings:
- **Patrick's wage**: $18 per hour
- **Michelle's wage**: $24.25 per hour

Now, we can find out who earns more and by how much:

\[
\text{Difference} = 24.25 - 18 = 6.25
\]

### Conclusion:
Michelle earns more money per hour than Patrick by $6.25. Therefore, the correct answer is:

**Michelle, by $6.25.**