Answer :
To find the temperature increase in degrees Fahrenheit equivalent to a 10-degree Celsius increase, you can use the conversion formula between Celsius and Fahrenheit:
[tex]\[ F = 32 + 1.8 \times C \][/tex]
Here, [tex]\( C \)[/tex] represents the change in temperature in degrees Celsius, and [tex]\( F \)[/tex] represents the change in temperature in degrees Fahrenheit. When there is an increase or decrease in temperature, the 32-degree constant in the equation doesn't affect the change. So, we only need to consider the multiplication part of the formula for changes.
1. Identify the temperature change in Celsius: In this case, the increase is [tex]\( 10 \)[/tex] degrees Celsius.
2. Use the factor in the formula that converts Celsius to Fahrenheit without the constant [tex]\( 32 \)[/tex]. So, it will be:
[tex]\[ \text{Change in } F = 1.8 \times C \][/tex]
3. Substitute [tex]\( C = 10 \)[/tex]:
[tex]\[ \text{Change in } F = 1.8 \times 10 = 18 \][/tex]
Thus, a temperature increase of 10 degrees Celsius is equivalent to an increase of [tex]\( 18 \)[/tex] degrees Fahrenheit.
[tex]\[ F = 32 + 1.8 \times C \][/tex]
Here, [tex]\( C \)[/tex] represents the change in temperature in degrees Celsius, and [tex]\( F \)[/tex] represents the change in temperature in degrees Fahrenheit. When there is an increase or decrease in temperature, the 32-degree constant in the equation doesn't affect the change. So, we only need to consider the multiplication part of the formula for changes.
1. Identify the temperature change in Celsius: In this case, the increase is [tex]\( 10 \)[/tex] degrees Celsius.
2. Use the factor in the formula that converts Celsius to Fahrenheit without the constant [tex]\( 32 \)[/tex]. So, it will be:
[tex]\[ \text{Change in } F = 1.8 \times C \][/tex]
3. Substitute [tex]\( C = 10 \)[/tex]:
[tex]\[ \text{Change in } F = 1.8 \times 10 = 18 \][/tex]
Thus, a temperature increase of 10 degrees Celsius is equivalent to an increase of [tex]\( 18 \)[/tex] degrees Fahrenheit.
