Question

Miles makes a smoothie using milk and strawberries. The table shows the relationship between number of strawberries and cups of milk.

Cups of Milk (x) Number of Strawberries (y)
0 0
0.5 5
2 20
3 30
Drag the tiles to complete an equation relating the cups of milk, x, and the number of strawberries, y.

A
= B
⋅ x

Answer 1

To create an equation relating the cups of milk (x) and the number of strawberries (y) based on the data provided, we need to determine the relationship between x and y as indicated in the table.

The table indicates the following pairs of (x, y):
- (0, 0)
- (0.5, 5)
- (2, 20)
- (3, 30)

By analyzing these pairs, we can see that as x (cups of milk) increases, y (number of strawberries) increases proportionally.

To find the relationship, we can use two points from the table:
- From (0.5, 5): When x = 0.5, y = 5
- From (2, 20): When x = 2, y = 20

If we examine the relationship, we can see the ratio of strawberries to milk:
- For each 0.5 cups of milk, there are 5 strawberries.

Thus, we can establish that:
- For every 1 cup of milk (which is double 0.5), there would be double the strawberries, which would be 10 strawberries.
- For 2 cups of milk, it is consistent as there are 20 strawberries.

This suggests that the number of strawberries, y, can be expressed as a linear function of the cups of milk, x.

From our relationships, we generally see that:
- \( y = 10x \)

Thus, we can fill in the tiles in the format given:

**A:** y
**B:** 10

So, the final equation relating the cups of milk (x) and the number of strawberries (y) is:
**y = 10 ⋅ x**