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Question
the relationship between time worked and money earned for each person is proportional. how much more does yassil earn per hour than jeraly?
start by thinking about jeraly’s earnings. in the equation ( y = 9x ), ( y ) is the amount of money she earns for working ( x ) hours. how much does she earn per hour? that is her rate of change.
jeralys earnings
( y = 9x )
jeraly earns (square) dollars per hour.
yassils earnings
| time worked (hr) | money earned ($) |
|---|---|
| 4 | 48 |
| 5 | 60 |
| 7 | 84 |
yassil earns? dollars per hour.
Step1: Find Jeraly's hourly rate
For proportional equation $y=9x$, the coefficient of $x$ is the hourly rate. So Jeraly's rate is $\$9$ per hour.
Step2: Calculate Yassil's hourly rate
Divide money earned by time worked. Use first row: $\frac{36}{3}=12$. Verify with second row: $\frac{48}{4}=12$. Yassil's rate is $\$12$ per hour.
Step3: Find the difference in rates
Subtract Jeraly's rate from Yassil's rate. $12 - 9 = 3$
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Jeraly earns 9 dollars per hour.
Yassil earns 12 dollars per hour.
Yassil earns $\$3$ more per hour than Jeraly.