Answer :
To find the equivalent temperature increase in degrees Fahrenheit when there is an increase of 10 degrees Celsius, we need to use the formula that converts Celsius to Fahrenheit. The formula is:
[tex]\[ f = 32 + 1.8c \][/tex]
This formula tells us how to convert a specific temperature from Celsius to Fahrenheit. However, since we're only looking for the change or increase, we focus on the part of the formula related to the scale or rate of change, which is the [tex]\( 1.8 \)[/tex] multiplier. This means for every 1 degree increase in Celsius, the temperature increases by 1.8 degrees Fahrenheit.
So, if the temperature increases by 10 degrees Celsius, the increase in Fahrenheit would be:
[tex]\[ \text{Increase in Fahrenheit} = 1.8 \times 10 = 18 \][/tex]
Therefore, a temperature increase of 10 degrees Celsius is equivalent to a temperature increase of 18 degrees Fahrenheit.
[tex]\[ f = 32 + 1.8c \][/tex]
This formula tells us how to convert a specific temperature from Celsius to Fahrenheit. However, since we're only looking for the change or increase, we focus on the part of the formula related to the scale or rate of change, which is the [tex]\( 1.8 \)[/tex] multiplier. This means for every 1 degree increase in Celsius, the temperature increases by 1.8 degrees Fahrenheit.
So, if the temperature increases by 10 degrees Celsius, the increase in Fahrenheit would be:
[tex]\[ \text{Increase in Fahrenheit} = 1.8 \times 10 = 18 \][/tex]
Therefore, a temperature increase of 10 degrees Celsius is equivalent to a temperature increase of 18 degrees Fahrenheit.