Find an equation of variation in which y varies inversely as x and y = 6.25 and x = 0,16. Then find the value of y when x = 20.

the value of y = 781.25

Step-by-step explanation:

In variation

if there is inverse relation between two variables, then if one variable increases then another variable decreases in same proportion.

Any variation be it direct or inverse  between two variable say and y can be represented by

y = kx where k is constant of proportionality

Given

y = 6.25 and x = 0.16

lets use this value in y - kx to find k

6.25 = k*0.16

k = 6.25/0.16 = 39.0625

Now the

relation ship etablished is

y = 39.0625x

given x = 20

then

y = 39.0625*20 = 781.25

the value of y when x = 20 is 781.25