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Temperature can be measured in two different common units; degrees Celsius and degrees Fahrenheit. $f$ represents the temperature in degrees Fahrenheit as a function of the temperature $c$ in degrees Celsius. $f = 32 + 1.8c$ What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase by $10$ degrees Celsius?

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Convert between Celsius and Fahrenheit

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

f

represents the temperature in degrees Fahrenheit as a function of the temperature

c

in degrees Celsius.

f = 32 + 1.8c

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

10

degrees Celsius?

Given Formula Application: We are given the formula to convert Celsius to Fahrenheit: $f = 32 + 1.8c$ . To find the increase in Fahrenheit for a $10$ degrees Celsius increase, we need to apply this increase to the formula.
Initial Fahrenheit Calculation: First, let's calculate the Fahrenheit temperature for the initial Celsius temperature. Let's assume the initial Celsius temperature is $0$ degrees (since we are only interested in the increase). Using the formula, we get $f = 32 + 1.8(0) = 32$ degrees Fahrenheit.
Increased Fahrenheit Calculation: Now, let's calculate the Fahrenheit temperature for the Celsius temperature increased by $10$ degrees. If the initial Celsius temperature is $0$ degrees, the increased temperature is $0 + 10 = 10$ degrees Celsius. Using the formula, we get $f = 32 + 1.8(10) = 32 + 18 = 50$ degrees Fahrenheit.
Fahrenheit Increase Calculation: The increase in Fahrenheit can be found by subtracting the initial Fahrenheit temperature from the increased Fahrenheit temperature. So, the increase is $50$ degrees Fahrenheit - $32$ degrees Fahrenheit = $18$ degrees Fahrenheit.

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