Question

Chung is making cupcakes, he made the table below showing the amount of each ingredient needed for a certain number of cupcakes

Number of cupcakes, Strawberries, Bananas
2. 4. 6
4. 8. 12
6. 12. 18
8. 16. 24

He plotted the date, he used the number of slices of strawberry as the x-coordinate and the number of slices of bananas as the y-coordinate. He then drew a line to connect the points, which point could be on the line that Chung drew?

1, 3
3, 2
2, 3
1, 2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine which point could be on the line that Chung drew, we need to find a point that satisfies the relationship between the number of slices of strawberries and the number of slices of bananas from the given table.

Looking at the table, we can see that the ratio of strawberries to bananas is always 2:3. This means that for every 2 slices of strawberries, there are 3 slices of bananas.

Let's check each point to see if they satisfy this ratio:

1, 3: If we have 1 slice of strawberries, the ratio of strawberries to bananas would be 1:3. This does not satisfy the desired ratio of 2:3, so this point cannot be on the line.

3, 2: If we have 3 slices of strawberries, the ratio of strawberries to bananas would be 3:6, which simplifies to 1:2. This does not satisfy the desired ratio of 2:3, so this point cannot be on the line.

2, 3: If we have 2 slices of strawberries, the ratio of strawberries to bananas would be 2:6, which simplifies to 1:3. This satisfies the desired ratio of 2:3, so this point could be on the line.

1, 2: If we have 1 slice of strawberries, the ratio of strawberries to bananas would be 1:2. This does not satisfy the desired ratio of 2:3, so this point cannot be on the line.

Therefore, the point that could be on the line that Chung drew is 2, 3.