To convert a temperature in degrees Celsius to degrees Fahrenheit multiply the Celsius temperature by 9/5 and then add 32 F Is a temperature in degrees Celsius proportional to its equivalent temperature in degrees Fahrenheit.
no, the adding/subtracting of the constant 32 "wrecks" the proportional property,
that is, we cannot set it up as a ratio of the form
a/b = c/d
thanks
To determine if a temperature in degrees Celsius is proportional to its equivalent temperature in degrees Fahrenheit, we can compare the conversion formula. In this case, the formula states that to convert Celsius to Fahrenheit, you multiply by 9/5 and add 32.
If two values are proportional, they maintain the same ratio as their corresponding values change. In this case, we can examine the ratio between the Celsius and Fahrenheit temperatures using the conversion formula.
Let's say we have two different temperatures in degrees Celsius, C1 and C2. To convert C1 to Fahrenheit, we multiply by 9/5 and add 32:
F1 = (C1 × 9/5) + 32
Similarly, to convert C2 to Fahrenheit, we use the same formula:
F2 = (C2 × 9/5) + 32
Now, let's compare the ratios of Fahrenheit to Celsius for these two conversions:
(F1 - 32) / C1 = ((C1 × 9/5) + 32 - 32) / C1
= (C1 × 9/5) / C1
= 9/5
(F2 - 32) / C2 = ((C2 × 9/5) + 32 - 32) / C2
= (C2 × 9/5) / C2
= 9/5
As you can see, the ratio of the Fahrenheit temperature to the Celsius temperature remains constant and equal to 9/5 for any given Celsius value. This indicates that the Celsius and Fahrenheit temperatures are proportional to each other.
Therefore, we can conclude that a temperature in degrees Celsius is indeed proportional to its equivalent temperature in degrees Fahrenheit.