4. Proportional and Nonproportional Relationships
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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.
In the given scenario, we know that to convert a temperature in degrees Celsius to degrees Fahrenheit, we multiply the Celsius temperature by 95 and then add 32^(∘). Let's use this to complete a table of values.
| Degrees Celsius, x | 0 | 10 | 20 | 30 |
|---|---|---|---|---|
| Degrees Fahrenheit, y | 0* 95+32= 32 | 10* 95+32= 50 | 20* 95+32= 68 | 30* 95+32= 86 |
| y/x | 32/0 | 50/10 | 68/20 | 86/30 |
| Simplified Ratio | - | 5 | 3.4 | 2.86 |
Notice that the simplified ratios are not all equal. This means that a temperature in degrees Celsius is not proportional to its equivalent temperature in degrees Fahrenheit.