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The definition of temperature says that it is . . .

Case Study Based Question on Linear Equation in Two Variables
The definition of temperature says that it is a measure of the hotness and coldness of a body. The two main units we often use to measure temperature are degree Celsius and degree Fahrenheit. 




The linear equation that converts Fahrenheit (F) to Celsius (C) is given by
°C×1.8=°F-32
Based on the above information, answer the following questions :

(i) Convert the normal body temperature in degree Celsius.

(ii) If the room temperature on a day is 35°C, then what will be its value in Fahrenheit scale ?

(iii) (A) Convert the freezing point and boiling point of water in Fahrenheit scale.
OR
(B) What is the numerical value of the temperature which is same in both the scales ?

Doubt by Parth 

Solution : 

(i) Normal body temperature in Fahrenheit (F) = 98.6 °F

°C×1.8=°F-32
=°C×1.8=98.6-32
=
°C×1.8=66.6
=
°C=66.6/1.8
°C=666/18
°C=222/6
°C=37

Normal body temperature in degree Celsius is 37
°C

(ii) Room Temperature = 35°C

°C×1.8=°F-32
35×1.8=°F-32
63=
°F-32
63+32=
°F
95=
°F
°F=95

Hence, room temperature in Fahrenheit scale will be 95
°F.

(iii) (A)
Freezing Point of water = 0
°C
Boiling Point of water = 100 
°C
°C×1.8=°F-32
°F-32=°C×1.8
°F=[°C×1.8]+32

°F=[0×1.8]+32
°F=0+32
°F=32

°F=[100×1.8]+32
°F=180+32
°F=212

Hence, freezing point and boiling point is 32°F and 212°F respectively.

OR

(B) Let °C=°F=a
°C×1.8=°F-32
a×1.8=a-32
1.8a-a=-32
0.8a=-32
a=-32/0.8
a=-320/8
a=-40

Hence, the numerical value of the temperature which is same in both the scale is -40°.