Question

8. In 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: exty uch lin. F= IC + 32 5 lue of d fort and to: Fig. 4 (1) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis. (i) If the temperature is 30°C, what is the temperature in Fahrenheit? (ii) If the temperature is 95°F, what is the temperature in Celsius? (iv) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0°F, what is the temperature in Celsius? (v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.​

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=

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.

Step-by-step explanation:

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