Zoe's class is having a holiday party, and she is in charge of bringing juice. She decides to bring powdered juice mix and add water to it at school.
There is a proportional relationship between the volume of water Zoe uses to make the juice (in liters), x, and the number of scoops of juice mix she uses, y.
4У
10
9
8
7
6
5
4
3
2
1
1
2
3
4
5 6
7
8
Liters
What is the constant of proportionality?
To find the constant of proportionality, we need to determine the ratio between the volume of water used (x) and the number of scoops of juice mix used (y).
First, let's find the ratio for each pair of values:
For 4 liters of water used, Zoe uses 10 scoops of juice mix (4:10).
For 3 liters of water used, Zoe uses 8 scoops of juice mix (3:8).
For 2 liters of water used, Zoe uses 4 scoops of juice mix (2:4).
For 1 liter of water used, Zoe uses 2 scoops of juice mix (1:2).
From these ratios, we can see that the ratio between x and y is 1:2, which means the constant of proportionality is 2.