To determine the constant of proportionality from the data in the table between raspberry and lemonade, we need to look for a consistent ratio:
- For 1 scoop of raspberry, there are 2.5 cups of lemonade.
- For 2 scoops of raspberry, there are 5 cups of lemonade.
- For 4 scoops of raspberry, there are 10 cups of lemonade.
- For 6 scoops of raspberry, there are 15 cups of lemonade.
If we calculate the ratio of lemonade to raspberry for each pair of values in the table, we can see that:
- \( \frac{2.5}{1} = 2.5 \)
- \( \frac{5}{2} = 2.5 \)
- \( \frac{10}{4} = 2.5 \)
- \( \frac{15}{6} = 2.5 \)
The constant of proportionality is \( 2.5 \), and it appears when we compare 1 scoop of raspberry to 2.5 cups of lemonade.
Thus, the answer is (1, 2.5).