Find Equation of varation?

Question

Find equation of variation in which y varis inversely as x and y=3 and x=25. Then find value of y when x=10.

Find equation of variation y=__

 

The value of y is __ when x=10

Answer 1

Y=k/x  where k is the constant of proportionality

 

plug in  the values of x,y and solve for k firs

 

3=k/25  k=75

 

so the equation is Y=75/X   To find the value of y when X=10,plug in the equation and so X=7.5

Answer 2

i'll give it a try.

 

the formula for inverse variation equation is y= k/x or xy = k

 

for  y = 3 when x =25, the k value will be (3)(25) = 75

 

now, the formula will be y = 75/x and input x = 10

 

y = 75/10 = 7.5