The variable y is directly proportional to the variable x. if y = 32 when x = 20, what is the value of x when y = 40?

a)
20

b)
20.5

c)
25

d)
30

The Correct option is C ) 25

Therefore the value of x is 25 when y =40.

Step-by-step explanation:

Given:

Variable 'y' is directly proportional to the variable 'x'.

    ......Direct Variation

Where,

k = Constant of proportionality

To Find:

value of x = ? when y = 40

Solution:

First we need to find Constant of proportionality

When x = 20 and y = 32

Substituting the values we get

Now when k =1.6 , y = 40 then x will be

Therefore the value of x is 25 when y =40.

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1