To create a table of equivalent ratios for Magan's earnings, we can start by determining his earnings per hour. Since he earned $54 for 3 hours of work, we can calculate his hourly rate as follows:
\[ \text{Hourly Rate} = \frac{\text{Total Earnings}}{\text{Hours Worked}} = \frac{54}{3} = 18 \]
This means Magan earns $18 for each hour he works. Now, we can create a table of equivalent ratios based on his earnings for various hours worked.
Table of Equivalent Ratios
| Hours Worked | Earnings ($) | |--------------|--------------| | 1 | 18 | | 2 | 36 | | 3 | 54 | | 4 | 72 | | 5 | 90 |
This table shows equivalent ratios of hours worked to earnings.
Plotting Points on Coordinate Axes
To plot these points on a coordinate system where:
- The x-axis represents "Hours Worked"
- The y-axis represents "Earnings ($)"
The coordinates of the points based on the table above are:
- (1, 18)
- (2, 36)
- (3, 54)
- (4, 72)
- (5, 90)
You would plot these points on a graph as follows:
- For (1, 18), move to 1 on the x-axis and then up to 18 on the y-axis.
- For (2, 36), move to 2 on the x-axis and then up to 36 on the y-axis.
- For (3, 54), move to 3 on the x-axis and then up to 54 on the y-axis.
- For (4, 72), move to 4 on the x-axis and then up to 72 on the y-axis.
- For (5, 90), move to 5 on the x-axis and then up to 90 on the y-axis.
Once you have these points, you can connect them with a straight line since they form a linear relationship. The slope of the line is consistent with his hourly rate of $18 per hour.
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