Question

The relationship between the temperature in degrees Fahrenheit, F, and the temperature in degrees Celsius, C, is represented by the formula F = 9C /5+ 32. a. Solve the formula for C to express the Celsius temperature in terms of the Fahrenheit temperature. b. A classmate tells you that there is one Fahrenheit temperature that is the same as the Celsius temperature. Is your classmate correct? If so, what is the temperature? If your classmate is incorrect, explain why.

Answer 1

The relationship between temperature in degrees Fahrenheit, F, and the temperature in degrees Celsius, C, is represented by the formula:

`F=(9C)/(5)+32`

(a)We want to solve for C.

First, subtract 32 from both sides.

`\begin{gathered} F-32=(9C)/(5)+32-32 \\ F-32=(9C)/(5) \end{gathered}`

Next, cross multiply.

`\begin{gathered} 9C=5(F-32) \\ C=(5(F-32))/(9) \end{gathered}`

(b) There is no Fanreheit temperature that is the same as the Celsius temperature.

This is because when C=0, F=32 and it increases in that manner.