Question

Which is the higher temperature? (Assume temperatures to be exact numbers.)(a)1.)265°C or 265°F?2.)265°C3.)265°F 4.)They are the same temperature..(b)1.)200°C or 370°F?2.))200°C3.)370°F 4.)They are the same temperature.

Answer 1

Remember the following formulas to convert temperatures between Farenheit and Celsius:

$\begin{gathered} \text{ Farenheit to Celsius:} \\ C=\frac{5(F-32)}{9} \\ \\ \text{ Celsius to Farenheit:} \\ F=\frac{9}{5}C+32 \end{gathered}$

Convert all the temperatures to Celsius to compare them.

Part a)

Convert 265ºF to Celsius:

$\begin{gathered} C=\frac{5(F-32)}{9} \\ \\ =\frac{5(265-32)}{9} \\ \\ =129.444... \end{gathered}$

Then, 265ºF is equal to 129.444...ºC. Then, 265ºC is higher than 265ºF.

The correct choice is option 2) 265ºC.

Part b)

Convert 370ºF to Celsius:

$\begin{gathered} C=\frac{5(F-32)}{9} \\ \\ =\frac{5(370-32)}{9} \\ \\ =187.777...ºC \end{gathered}$

Then, 370ºF is equal to 187.777...ºC. Then, 200ºC is higher than 370ºF.

The correct choice is option 2) 200ºC.