To fill in the missing values in the table based on the information provided, we can determine the blocks traveled per minute.
-
In 5 minutes, Jose travels 8 blocks, so his speed is \( \frac{8 \text{ blocks}}{5 \text{ minutes}} = 1.6 \text{ blocks per minute}\).
-
In 10 minutes, he travels 16 blocks, which also confirms the speed: \( \frac{16 \text{ blocks}}{10 \text{ minutes}} = 1.6 \text{ blocks per minute}\).
Now, let's fill in the missing values in the table.
Given:
-
When mins (x) = 5:
- Blocks (y) = 8
-
When mins (x) = 10:
- Blocks (y) = 16
To find:
-
When mins (x) = 2.5:
- Using the blocks per minute: \[ y = 1.6 \times 2.5 = 4 \text{ blocks} \]
-
When mins (x) = 25:
- Again using the same rate: \[ y = 1.6 \times 25 = 40 \text{ blocks} \]
Completed table:
- Minutes (x):
- 2.5 → Blocks (y) = 4
- 5 → Blocks (y) = 8
- 10 → Blocks (y) = 16
- 25 → Blocks (y) = 40
So, the completed table would look like:
| Minutes (x) | Blocks (y) | |-------------|------------| | 2.5 | 4 | | 5 | 8 | | 10 | 16 | | 25 | 40 |