Question

Suppose that y varies inversely with x. Write an equation for the inverse variation. y = 2 when x = 5

Answer 1

Y=k/x
Y=2 & x=5 implies k=10

Hence, y=10/x is the desired equation of the hyperbola

Answer 2

Answer:

The equation is $y=\frac{k}{x}$ and  y = 2 , x = 5 the value of k is 10 .

Step-by-step explanation:

As given

y varies inversely with x.

$y\propto \frac{1}{x}$

$y=\frac{k}{x}$

Where k is the constant of proportionality .

Thus the equation for the  inverse variation .

$y=\frac{k}{x}$

As given

y = 2 when x = 5

Put all the values in the equation $y=\frac{k}{x}$ .

$2=\frac{k}{5}$

k = 2 × 5

k = 10

Thus the constant of variation is 10 .

Therefore the equation is $y=\frac{k}{x}$ and when y = 2 , x = 5 value of k is 10 .