Below is a linear equation that converts Fahrenheit to Celsius. If the temperature is 30°C, what is the temperature in
Fahrenheit?
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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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