Answer:
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'.
[tex]\therefore y=kx[/tex] ......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
[tex]32=k\times 20\\k=\dfrac{32}{20}=1.6\\\\k=1.6[/tex]
Now when k =1.6 , y = 40 then x will be
[tex]40=1.6\times x\\\\x=\dfrac{40}{1.6}=25\\\\x=25[/tex]
Therefore the value of x is 25 when y =40.
