Question

In some countries 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=[9/5] C+32
i)If the temperature is 0° C, what is the temperature in Fahrenheit?
ii)If the temperature is 0° F, what is the temperature in Celsius?
iii)If the temperature is -5° C, what is the temperature in Fahrenheit?
iv)What is the value of F if C=10?​

Answer 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=59×30+32=86 F.

(iii) Given F=95, so C=95×(F−32)=35 C.

(iv) Given C=0, so F=32 and if F=0, we get C=−9160.

(v) Put F=C=x in given equatin, we get 54x=−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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