Question

Consider the linear equation that converts Fahrenheit (F) to Celsius (C) :
F = (9/5)C + 32
(1) Draw the graph of this linear equation using Celsius for X-axis and Fahrenheit for Y-axis.
(2) If the temperature is 30° C, what is the corresponding temperature in Fahrenheit ?
(3) If the temperature is 95° F, what is the corresponding temperature in Celsius ?
(4) If the temperature is 0° C, what is the corresponding temperature in Fahrenheit and if the temperature is 0° F, what is the corresponding temperature in Celsius ?

Answer 1

Answer:

(2) 30°C=86°F

(3) 95°F=35°C

(4) 0°C=32°F and 0°F= -17.78°C

Step-by-step explanation:

(1) See the attached file to see the graph between Celsius for X-axis and Fahrenheit for Y-axis.

(2)Given, the relation, F = (9/5)C + 32 ....... (1)

Putting C=30, we get

F=(9/5)(30)+32

⇒F= 54+32=86

So, 30°C=86°F (Answer)

(3) From equation (1), putting F=95, we get

95=(9/5)C+32

⇒(9/5)C= 63

⇒C=35

Hence, 95°F=35°C (Answer)

(4) From equation (1), putting C=0, we get,

F=(9/5)(0)+32

⇒F=32

So, 0°C=32°F

Again from equation (1), putting F=0, we get,

0=(9/5)C+32

⇒(9/5)C=-32

⇒C=-(160/9)=-17.78

Hence, 0°F= -17.78°C (Answer)

Answer 2

Answer:

2nd f = 86

3 c = 35

4 c = - 17 .8 , f = 32

5 Yes - 40 both in f and c