In countries like USA and Canada, temperature is measured in Fahrenheit, whereas in countries like India, it is measured in Celsius.
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:
F = (9/5)C + 32
(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 which is numerically the same in both Fahrenheit and Celsius? If yes, find it.
(i) According to the question,
F = (9/5)C + 32
Solving the equation,
We get,
When C = 0, F = 32
When C = -10 , F = 14
The points to be plotted are (0, 32), (-10, 14)
(ii) When C = 30,
F = (9/5)C +32
F = (9×30)/5+32
= (9×6)+32
= 54+32
= 86oF
(iii) When F = 95,
95 = (9/5)C +32
(9/5)C = 95-32
(9/5)C =63
C = (63×5)/9
=35oC
(iv) When C = 0,
F = (9/5)C +32
F = (9×0)/5 +32
=0+32
=32oF
When F = 0,
0 = (9/5)C+32
(9/5)C = 0-32
(9/5)C = -32
C = (-32×5)/9
=-17.7777
=-17.8oC
(v) When F = C,
C = (9/5)C+32
C – (9/5)C = 32
(5-9)C/5 =32
(-4/5)C = 32
(-4/5)C = (-32×5)/4
= – 40oC
Hence, -40o is the temperature which is numerically the same in both Fahrenheit and Celsius.
-
Give the geometric representations of 2x + 9 = 0 as an equation (i) in one variable (ii) in two variables
3 years ago
-
Give the geometric representations of y = 3 as an equation (i) in one variable (ii) in two variables
3 years ago
-
Yamini and Fatima, two students of Class IX of a school, together contributed ₹ 100 towards the Prime Minister’s Relief Fund to help the earthquake victims.
3 years ago
-
If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 un...
3 years ago
-
From the choices given below, choose the equation whose graphs are given in Fig. (i) y = x + 2 (ii) y = x – 2 (iii) y = –x + 2 (iv) x + 2y = 6
3 years ago
- 321 Forums
- 27.3 K Topics
- 53.8 K Posts
- 2 Online
- 12.4 K Members