Question

Magan earned $54 at his job when he worked for 3 hours. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided

Answer 1

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. (1, 18)
2. (2, 36)
3. (3, 54)
4. (4, 72)
5. (5, 90)

You would plot these points on a graph as follows:

1. For (1, 18), move to 1 on the x-axis and then up to 18 on the y-axis.
2. For (2, 36), move to 2 on the x-axis and then up to 36 on the y-axis.
3. For (3, 54), move to 3 on the x-axis and then up to 54 on the y-axis.
4. For (4, 72), move to 4 on the x-axis and then up to 72 on the y-axis.
5. 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.