College

We can measure temperature in two different common units: degrees Celsius and degrees Fahrenheit.

The variable [tex]$F$[/tex] represents the temperature in degrees Fahrenheit that is equivalent to [tex]$C$[/tex], the temperature in degrees Celsius.

[tex]\[ F = 32 + 1.8C \][/tex]

What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10 degrees Celsius?

[tex]\square[/tex] degrees Fahrenheit

Answer :

To find the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10 degrees Celsius, we can use the given formula for converting Celsius to Fahrenheit:

[tex]\[ F = 32 + 1.8 \times C \][/tex]

However, since we're interested in the change in temperature, we only need to focus on the conversion factor without the constant 32, because the 32 is just the starting point for the Fahrenheit scale and doesn't impact the change in temperature.

When Celsius increases by a certain amount, the Fahrenheit equivalent will increase by that amount multiplied by 1.8 (the conversion factor from Celsius to Fahrenheit).

So, if there is an increase of 10 degrees Celsius, the equivalent increase in Fahrenheit is calculated by multiplying 10 by 1.8:

[tex]\[ \text{Temperature increase in Fahrenheit} = 1.8 \times 10 = 18 \][/tex]

Therefore, a temperature increase of 10 degrees Celsius is equivalent to an increase of 18 degrees Fahrenheit.