Question

C=5/9(F−32)

The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5/9 degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only

Answer 1

Yeah I would say that statement 1 and 2 are right and Statement III is not true since is not 1 degree celsius.

Answer 2

Okay so think of the equation as an equation for a line where you are going to find the formula of y=mx+b

Explanation:

C=
`(5)/(9)`(f-32)

This slope of the graph is
`(5)/(9)` which means that for an increase of 1 degree Fahrenheit, the increase is
`(5)/(9)` of 1 degree Celsius.

So statement I is true and II are true.

Statement III is not true since
`(25)/(81)` is not 1 degree Celsius, and so its not correct