Mathematics, 11.01.2021 04:00 taylorreneeax9227
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 EXPLANATION: Think of the equation as an equation for a line
y=mx+b
where in this case
C=
5
9
(F−32)
or
C=
5
9
F−
5
9
(32)
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.
C=
5
9
(F)
C=
5
9
(1)=
5
9
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
5
degrees Fahrenheit.
C=
5
9
(F)
1=
5
9
(F)
(F)=
9
5
Since
9
5
= 1.8, statement II is true.
The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of
5
9
degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:
C=
5
9
(F)
C=
5
9
(
5
9
)
C=
25
81
(whichis≠1)
An increase of
5
9
degree Fahrenheit leads to an increase of
25
81
, not 1 degree, Celsius, and so Statement III is not true.
Answers: 2
Mathematics, 20.06.2019 18:04
Me find the measure to side c and the process to solve the problem you appreciate it : )
Answers: 1
Mathematics, 21.06.2019 20:30
What is the best approximation for the area of a circle with a radius of 4 m ? use 3.14 to approximate pi
Answers: 1
Mathematics, 21.06.2019 22:00
If tan2a=cot(a+60), find the value of a, where 2a is an acute angle
Answers: 1
C=
5
9
(F−32)
The equation above shows how temperature F, measured in degre...
9
(F−32)
The equation above shows how temperature F, measured in degre...
Social Studies, 25.01.2021 19:40
Mathematics, 25.01.2021 19:40
Mathematics, 25.01.2021 19:40
Business, 25.01.2021 19:40
Mathematics, 25.01.2021 19:40
Mathematics, 25.01.2021 19:40
Mathematics, 25.01.2021 19:40