Question

The following formula relates the quantities temperature in Fahrenheit (F) and temperature in Celsius (C). F = C + 32

(a) Write two other related equations.

(b) If the temperature is 23 in degrees Celsius, what is the temperature in Fahrenheit? Show your work.

(c) Which is greater, 75 Fahrenheit or 25 degrees Celsius? Show your work.

Answer 1

We have been given the formula
`F=C+32` that relates the quantities of temperature in Fahrenheit (F) and temperature in Celsius (C).

(a). We can write two other related equations as:

`F-C=32..(1)`

`C=F-32..(2)`

(b). Let us substitute C=23 in our given formula to find equivalent temperature in Fahrenheit.

`F=23+32`

`F=55`

Therefore, the temperature in Fahrenheit will be
`55^(o)F`.

(c). Let us substitute F=75 and C=25 in our given formula to find which temperature is greater.

`F=C+32`

`75=25+32`

`75>57`

Therefore, We can see that
`75^(o)F` is greater than
`25^(o)C`.