Question

20. The temperature of a pot of water is 62*F. The temperature increases

by 20*F per minute when being heated. Write an equation to represent

the linear relationship. *

Answer 1

Given :

The temperature of a pot of water is 62 F .

The temperature increases  by 20 F per minute when being heated .

To Find :

Write an equation to represent  the linear relationship.

Solution :

Here , the temperature is increasing directly with the time .

Therefore , it is a linear equation .

Let temperature varies with as :

T = at+b   .... equation 1 .

( Here , a and b are constants )

Now , at t= 0 min .

$T = 62 =a\times 0 + b$

$b=62$    

Now , after 1 min temperature will be , T = 62 +20 =82 F

$T = 82 = a\times 1+62\\a=20$

Putting value of a ans b in equation 1 , we get :

$T=20t+62\ F$

Hence , this is the required relation .