Temperature can be measured in two different common units: degrees Celsius and degrees Fahrenheit.

[tex]f[/tex] represents the temperature in degrees Fahrenheit as a function of the temperature [tex]c[/tex] in degrees Celsius.

[tex]f = 32 + 1.8c[/tex]

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

______ degrees Fahrenheit

Answer :

To find the temperature increase in degrees Fahrenheit that corresponds to a temperature increase of 10 degrees Celsius, we can use the conversion formula between Celsius and Fahrenheit:

[tex]\[ f = 32 + 1.8c \][/tex]

This formula gives the temperature [tex]\( f \)[/tex] in degrees Fahrenheit as a function of the temperature [tex]\( c \)[/tex] in degrees Celsius. According to the formula, each degree Celsius corresponds to an increase of 1.8 degrees Fahrenheit.

If the temperature in degrees Celsius increases by 10 degrees, we want to find out how much this increases the temperature in degrees Fahrenheit:

1. Multiply the Celsius temperature increase by 1.8, since each degree Celsius corresponds to 1.8 degrees increase in Fahrenheit:

[tex]\[ 1.8 \times 10 = 18 \][/tex]

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