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

The equation

$C=\dfrac{5}{9}(F-32)$

tells us that the slope is 5/9. By definition, this means that if you increase F by one, C will increase by 5/9.

Inversely, the slope would become 9/5=1.8. This means that if you increase C by one, F will increase by 1.8.