Answer :
To find the equivalent temperature increase in degrees Fahrenheit for an increase of 10 degrees Celsius, we can use the relationship between the two temperature scales. The formula to convert from degrees Celsius (C) to degrees Fahrenheit (F) is:
[tex]\[ F = 32 + 1.8 \times C \][/tex]
This formula shows that for every 1 degree increase in Celsius, the temperature in Fahrenheit increases by 1.8 degrees (since the 32 is a constant that represents the freezing point difference between the two scales and does not affect the change).
So, when the temperature increases by 10 degrees Celsius, the increase in Fahrenheit is calculated by multiplying the Celsius increase by 1.8:
[tex]\[ \text{Fahrenheit increase} = 1.8 \times 10 \][/tex]
This calculation equals:
[tex]\[ 18.0 \][/tex]
Therefore, a temperature increase of 10 degrees Celsius is equivalent to an increase of 18.0 degrees Fahrenheit.
[tex]\[ F = 32 + 1.8 \times C \][/tex]
This formula shows that for every 1 degree increase in Celsius, the temperature in Fahrenheit increases by 1.8 degrees (since the 32 is a constant that represents the freezing point difference between the two scales and does not affect the change).
So, when the temperature increases by 10 degrees Celsius, the increase in Fahrenheit is calculated by multiplying the Celsius increase by 1.8:
[tex]\[ \text{Fahrenheit increase} = 1.8 \times 10 \][/tex]
This calculation equals:
[tex]\[ 18.0 \][/tex]
Therefore, a temperature increase of 10 degrees Celsius is equivalent to an increase of 18.0 degrees Fahrenheit.
