Question

Drag numbers to the table so it shows a proportional relationship between x and y. tiles are 1.8 8 1.6 0.4 5 2.4

Answer 1

Starting with a ratio of 4/0.8, we found the next term (3.2, 16). To match given numbers, adjusted the third term (12.8, 64) by adding 2.4 to x. The complete table is x: 0.8, 3.2, 12.8; y: 4, 16, 64.

Let's rephrase the step-by-step calculation:

1. Given Ratios:

- The ratio of the given y-value and x-value is 4/0.8 = 5\.

- Therefore, the ratio of the next terms should also be 5.

2. Finding y for x = 3.2:

- Setting up the ratio y/3.2 = 5, we find
`\(y = 5 * 3.2 = 16\).`

- So, the next term in the table is x = 3.2 and y = 16.

3. Finding x for y = 5.6:

- The difference of the given x-values is 3.2 - 0.8 = 2.4.

- Adding this difference to x = 3.2, we get x = 3.2 + 2.4 = 5.6.

- However,
`\(5.6 * 5 = 28\)` is not in the given numbers.

4. Adjusting x to Match Given Numbers:

- To find a matching number, we keep adding 2.4 to x.

- Continuing this, we find that the third x-value is 12.8.

- Correspondingly,
`\(y = 12.8 * 5 = 64\).`

5. Complete Table:

- Hence, the complete table is:

x y

0.8 4

3.2 16

12.8 64

This step-by-step process ensures a consistent ratio and matches the given numbers.