5
Q37. In the countries like USA and Canada, temperature is measured in Fahrenheit. Whereas in
countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit
to Celsius: F=C+32°
i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for
y-axis.
ii) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes,
find it.
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1
Answer:
(i) Since the equation between F and C is given, the graph can be drawn as shown above.
(ii) Given c=30, so F=
5
9
×30+32=86 F.
(iii) Given F=95, so C=
9
5
×(F−32)=35 C.
(iv) Given C=0, so F=32 and if F=0, we get C=−
9
160
.
(v) Put F=C=x in given equatin, we get
5
4x
=−32, from which we get x=−40
Yes, there is a temperature which is numerically the same in both fahrenheit and celsius, the numerical value is −40.
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