# calculus

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.

1. 👍 0
2. 👎 0
3. 👁 210
1. C = (5/9)(F-32)
change in C = (5/9) * change in F
so change in F = (9/5) or 1.8 * change in C
====================================
look at choice 1
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
(5/9) degree Celsius.
Is that true ?
YES
--------------------------------------------------------
Look at choice 2
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
YES
==============================
look at choice 3
A temperature increase of
(5/9) degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
NO
if change in F = 5/9 then change in C =(5/9)(5/9) = 25/81

1. 👍 0
2. 👎 0
2. In other words dC/dF = (5/9) = delta C / delta F

1. 👍 0
2. 👎 0

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