Complete Ratio
1. We are given a ratio table with two columns where the left column values correspond to the right column values.
2. The table provided is:
| Left (x) | Right (y) |
|----------|------------|
| 8 | 1 |
| 40 | 5 |
| 64 | 8 |
| 88 | ? |
| 96 | ? |
3. First, observe that the ratio between corresponding values in the pairs seems consistent across the first three rows.
4. Calculate the ratio factor using the first row:
$$ \text{ratio} = \frac{y}{x} = \frac{1}{8} = 0.125 $$
5. Verify with the second and third rows:
For 40 and 5: $$\frac{5}{40} = 0.125$$
For 64 and 8: $$\frac{8}{64} = 0.125$$
The ratio is consistent.
6. Use the same ratio to find the missing values for 88 and 96.
For 88:
$$ y = 88 \times 0.125 = 11 $$
For 96:
$$ y = 96 \times 0.125 = 12 $$
7. So, the completed table is:
| Left (x) | Right (y) |
|----------|------------|
| 8 | 1 |
| 40 | 5 |
| 64 | 8 |
| 88 | 11 |
| 96 | 12 |
8. In conclusion, the missing values in the right column are 11 and 12 for 88 and 96 respectively, maintaining the constant ratio $$\frac{y}{x} = 0.125$$.