Question

Winterbee Farms lets you pick your own berries! The farm plants 5 rows of strawberry plants for every 3 rows of raspberry plants.
Complete the table.
Rows of strawberry plants 5 10 15 20
Rows of raspberry plants 3
Graph the data from the table.

Answer 1

To complete the table based on the given ratio of rows of strawberry plants to rows of raspberry plants (5:3), we can set up a proportion to find the number of raspberry rows corresponding to each number of strawberry rows.

Given the ratio, we can calculate the number of raspberry rows (R) using the formula:

\[
R = \left(\frac{3}{5}\right) \times S
\]

where \(S\) is the number of rows of strawberry plants.

Here’s how the table looks when completed:

| Rows of Strawberry Plants | Rows of Raspberry Plants |
|---------------------------|--------------------------|
| 5 | 3 |
| 10 | 6 |
| 15 | 9 |
| 20 | 12 |

### Explanation of Calculations:
- For 5 rows of strawberries: \(R = \frac{3}{5} \times 5 = 3\)
- For 10 rows of strawberries: \(R = \frac{3}{5} \times 10 = 6\)
- For 15 rows of strawberries: \(R = \frac{3}{5} \times 15 = 9\)
- For 20 rows of strawberries: \(R = \frac{3}{5} \times 20 = 12\)

### Graphing the Data:
To graph this data, we can use a simple XY (scatter) plot, where the x-axis represents the rows of strawberry plants and the y-axis represents the rows of raspberry plants.

- **X-axis (Rows of Strawberry Plants):** 5, 10, 15, 20
- **Y-axis (Rows of Raspberry Plants):** 3, 6, 9, 12

### Points to Plot:
- (5, 3)
- (10, 6)
- (15, 9)
- (20, 12)

### Graph Description:
- The graph will show a straight line passing through the points above, indicating a linear relationship between the number of rows of strawberry plants and rows of raspberry plants.
- The slope of the line will be \( \frac{3}{5} \) which is the ratio of the rows.

You can use graphing software or graph paper to visually represent these points and draw the line connecting them for a clear picture of the relationship!