Q19 of 39 Page 141

In countries like USA and Canada temperature is measured in Fahrenheit where as in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius

(i) Draw the graph of the above linear equation having Celsius on x-axis and Fahrenheit on Y-axis.


(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?


(iii) If the temperature is 95°F, what is the temperature in Celsius?


(iv) Is there a temperature that has numerically the same value in both Fahrenheit and Celsius? If yes find it?

(i) For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.

(Note: ∵ equation is linear graph will always be straight line.)


Table of solutions for the given equation-



GRAPH:



(ii) If the temperature is 30°C, then from the graph, the temperature in Fahrenheit is 86° F. (pt. E)


(iii) If the temperature is 30°C, what is the temperature in Fahrenheit is 35° C. (pt. F)


(iv) Yes.


The temperature that has numerically the same value in both Fahrenheit and Celsius is -40 (pt. G)


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[Hint : If the quantities of hydrogen and oxygen or ‘x’ and ‘y’ respectively, then x : y = 1:8 ⟹ 8x = y]

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In a mixture of 28 litres, the ratio of milk and water is 5:2. Set up the equation between the mixture and milk. Draw its graph. By observing the graph find the quantity of milk in the mixture.

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Give the graphical representation of the following equation.

a) On the number line and


b) On the Cartesian plane


x = 3

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a) On the number line and


b) On the Cartesian plane


y + 3 = 0