Question

❤HEYA BUDDIES❤

C=59(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 59 degree Celsius.A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.A temperature increase of 59 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

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Answer 1

If you think of the equation as an equation for a line.

y=mx+by=mx+b

where

C=5/9(F−32)C=5/9(F−32)

or

C=5/9F−5/9(32)C=5/9F−5/9(32)

you can see the slope of the graph is 5/95/9, which means that for an increase of 1 degree Fahrenheit, the increase is 5/95/9 of 1 degree Celsius. Therefore, statement I is true.

This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/59/5 degrees Fahrenheit. Since 9595 = 1.8, statement II is true.

On the other hand, statement III is not true, since a temperature increase of 9/59/5 degrees Fahrenheit, not 5/95/9 degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.

The final answer is d

Answer 2

♠️ $\huge\bold\green{HELLO}$♠️

C=5/9F−5/9(32)

The equation as an equation for a line

⇒y=mx+b

where in this case

C=5/9(F−32) or, C=5/9F−5/9(32)

You can see the slope of the graph is

5/9, which means that for an increase of 1° Fahrenheit, the increase is 5/9 of 1° Celsius.

⇒C = 5/9(F)

⇒C = 5/9(1) = 5/9

you can see the 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. Therefore, statement I is true.

This is the equivalent to saying that an increase of 1° Celsius is equal to an increase of 95° Fahrenheit.

⇒C = 5/9(F)

⇒1 = 5/9(F)

⇒(F) = 9/5

Since 9/5 = 1.8

Since 95 = 1.8, statement II is true.

On the other hand, statement III is not true, since a temperature increase of 9/5 degrees Fahrenheit, not 5/9 degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.

The final answer is D.

A) I only

B) II only

C) III only

D) I and II only✔️