Question

Madelyn read 3 books in 4 months. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
Months Books
4 3
8
30

Answer 1

To find equivalent ratios based on Madelyn's reading rate of 3 books in 4 months, we can first establish the ratio of books to months. This can be expressed as:

\[
\frac{\text{Books}}{\text{Months}} = \frac{3 \text{ books}}{4 \text{ months}}
\]

Next, we can calculate the number of books for various months by maintaining this ratio.

### Filling Out the Table

1. **Months = 4**: 3 books (given)
2. **Months = 8**: To find the number of books for 8 months:
\[
\text{Books} = \frac{3 \text{ books}}{4 \text{ months}} \times 8 \text{ months} = 6 \text{ books}
\]
3. **Months = 30**: To find the number of books for 30 months:
\[
\text{Books} = \frac{3 \text{ books}}{4 \text{ months}} \times 30 \text{ months} = 22.5 \text{ books}
\]
(Since the number of books should be a whole number, you might round this depending on the context. However, mathematically it comes out to 22.5).

### Completed Table

| Months | Books |
|--------|-------|
| 4 | 3 |
| 8 | 6 |
| 30 | 22.5 |

### Plotting the Points

Each point will be plotted based on the (Months, Books) pairs:

1. \((4, 3)\)
2. \((8, 6)\)
3. \((30, 22.5)\)

### Coordinate Axes

- **X-axis**: Months
- **Y-axis**: Books

### Summary

- Plot the points on the coordinate system:
- Point (4, 3)
- Point (8, 6)
- Point (30, 22.5)

This will give a visual representation of how many books Madelyn reads over a given amount of time. You will see that the points form a linear pattern, demonstrating that the number of books read is directly proportional to the number of months.

Answer 2

Madelyn read 3 books in 4 months. Fill out a table.
Months Books
4 3
8
30