Question

What happens to the value of the expression \dfrac{3y}{2y} 2y 3y ​ start fraction, 3, y, divided by, 2, y, end fraction as yyy increases?

Answer 1

The value of expression remains the same

Explanation:

Let the given function be f(y), where

`f(y) = (3y)/(2y)`

Lets put different values of y to finds its effect on the function

f(y) = 3y/2y

Let y = 1

f(1) = 3(1)/2(1) = 3/2

Let y = 2

f(2) = 3(2)/2(2) = 6/4 = 3/2

Let y = 3

f(3) = 3(3)/2(3) = 9/6 = 3/2

Let y = 10

f(4) = 3(10)/2(10) = 30/20 = 3/2

As we can see, no matter whatever value of y we put in the expression, the result is always the same i,e 3/2

Hence,

The value of expression remains the same