6. Scale Drawings
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Two quantities are proportional if there is a constant unit rate, or ratio, each time the values change.
No, see solution.
| x | 10 | 9 | 8 | 7 |
|---|---|---|---|---|
| y | 5 | 4 | 3 | 2 |
| Ratioy/x | 5/10 | 4/9 | 3/8 | 2/7 |
Now, we can rewrite all ratios as decimals. We can do so using a calculator.
| x | 10 | 9 | 8 | 7 |
|---|---|---|---|---|
| y | 5 | 4 | 3 | 2 |
| Ratioy/x | 5/10 | 4/9 | 3/8 | 2/7 |
| Simplified Ratioy/x | 0.5 | 0.4 | 0.375 | 0.285714... |
Notice that the ratio for all four pairs is different. This means that x and y are not proportional.