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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. f=32+1.8c f = 32 + 1.8c What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase by 10 10 degrees Celsius?

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Full solution

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. f=32+1.8c f = 32 + 1.8c What 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 Fahrenheit Calculation: First, let's calculate the Fahrenheit temperature for the initial Celsius temperature. Let's assume the initial Celsius temperature is 00 degrees (since we are only interested in the increase). Using the formula, we get f=32+1.8(0)=32f = 32 + 1.8(0) = 32 degrees Fahrenheit.
  3. Increased Fahrenheit Calculation: Now, let's calculate the Fahrenheit temperature for the Celsius temperature increased by 1010 degrees. If the initial Celsius temperature is 00 degrees, the increased temperature is 0+10=100 + 10 = 10 degrees Celsius. Using the formula, we get f=32+1.8(10)=32+18=50f = 32 + 1.8(10) = 32 + 18 = 50 degrees Fahrenheit.
  4. 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 5050 degrees Fahrenheit - 3232 degrees Fahrenheit = 1818 degrees Fahrenheit.

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