Question

In countries like the 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: (i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for 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) 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 that is numerically the same in both Fahrenheit and Celsius? If yes, find it. a. (i) - c, (ii) - b, (iii) - a, (iv) - d, (v) - c b. (i) - a, (ii) - c, (iii) - b, (iv) - d, (v) - a c. (i) - b, (ii) - a, (iii) - c, (iv) - d, (v) - b d. (i) - c, (ii) - b, (iii) - a, (iv) - d, (v) - b

Answer 1

Using the linear equation F = 9/5C + 32, it is determined that 30°C equals 86°F, 95°F equals 35°C, 0°C equals 32°F, and 0°F equals about -17.78°C. The Fahrenheit and Celsius scales coincide at -40 degrees.

Step-by-step explanation:

The linear equation to convert Celsius to Fahrenheit is F = 9/5C + 32.

1. While I can't draw the graph here, if you plot this equation, you'll get a straight line as it is a linear relationship. For every increase of 1 degree Celsius, Fahrenheit increases by a ratio of 9/5, and then we add 32.

2. If the temperature is 30°C, the temperature in Fahrenheit is F = 9/5(30) + 32 = 86°F.

3. If the temperature is 95°F, the temperature in Celsius is C = 5/9(95-32) = 35°C.

4. If the temperature is 0°C, it is 32°F in Fahrenheit, and if the temperature is 0°F, it is approximately -17.78°C in Celsius.

5. Yes, both Fahrenheit and Celsius scales coincide at -40 degrees. This means that -40°F is the same as -40°C.

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