Answer :
To find the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10 degrees Celsius, we can use the formula that relates Celsius and Fahrenheit:
[tex]\[ F = 32 + 1.8 \times C \][/tex]
This formula tells us how to convert a temperature from Celsius (C) to Fahrenheit (F). However, when we are looking at a change or increase in temperature, the constant term (32) will not affect the increase, and we only need to consider the multiplication factor.
1. Identify the given temperature increase in Celsius:
The problem states there is a temperature increase of 10 degrees Celsius.
2. Use the conversion factor:
Since the conversion formula is [tex]\( F = 32 + 1.8 \times C \)[/tex], the factor [tex]\( 1.8 \)[/tex] represents how much each degree Celsius affects the equivalent number of degrees Fahrenheit.
3. Calculate the equivalent increase in Fahrenheit:
Multiply the Celsius increase by the conversion factor:
[tex]\[ \text{Temperature increase in Fahrenheit} = 1.8 \times 10 \][/tex]
4. Calculate the result:
[tex]\[ 1.8 \times 10 = 18.0 \][/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 tells us how to convert a temperature from Celsius (C) to Fahrenheit (F). However, when we are looking at a change or increase in temperature, the constant term (32) will not affect the increase, and we only need to consider the multiplication factor.
1. Identify the given temperature increase in Celsius:
The problem states there is a temperature increase of 10 degrees Celsius.
2. Use the conversion factor:
Since the conversion formula is [tex]\( F = 32 + 1.8 \times C \)[/tex], the factor [tex]\( 1.8 \)[/tex] represents how much each degree Celsius affects the equivalent number of degrees Fahrenheit.
3. Calculate the equivalent increase in Fahrenheit:
Multiply the Celsius increase by the conversion factor:
[tex]\[ \text{Temperature increase in Fahrenheit} = 1.8 \times 10 \][/tex]
4. Calculate the result:
[tex]\[ 1.8 \times 10 = 18.0 \][/tex]
Therefore, a temperature increase of 10 degrees Celsius is equivalent to an increase of 18.0 degrees Fahrenheit.
