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

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Q. Temperature can be measured in two different common units; degrees Celsius and degrees Fahrenheit. f f represents the temperature in degrees Fahrenheit as a function of the temperature c c in degrees Celsius. \newlinef=32+1.8c f = 32 + 1.8c \newlineWhat is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase by 10 10 degrees Celsius?
  1. Given Formula Application: We are given the formula to convert Celsius to Fahrenheit: f=32+1.8cf = 32 + 1.8c. To find the increase in Fahrenheit for a 1010 degrees Celsius increase, we need to apply this increase to the formula.
  2. Initial Temperature Calculation: First, let's calculate the Fahrenheit temperature for the initial Celsius temperature. We can assume the initial temperature is 00 degrees Celsius for simplicity, as we are interested in the increase. So, finitial=32+1.8(0)=32f_{\text{initial}} = 32 + 1.8(0) = 32.
  3. Increased Temperature Calculation: Now, let's calculate the Fahrenheit temperature for the increased Celsius temperature, which is 1010 degrees higher. So, ffinal=32+1.8(10)=32+18=50f_{\text{final}} = 32 + 1.8(10) = 32 + 18 = 50.
  4. Fahrenheit Increase Calculation: The increase in Fahrenheit is the difference between the final Fahrenheit temperature and the initial Fahrenheit temperature. So, the increase in Fahrenheit is ffinalfinitial=5032=18f_{\text{final}} - f_{\text{initial}} = 50 - 32 = 18 degrees Fahrenheit.