Question

Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2.5 when y = 100. k = 250, y = 250x k = 0.025, y = 0.025x

Answer 1

Answer:

$k=250$

Step-by-step explanation:

If y varies inversely with x, then

$y=\dfrac{k}{x},$

where k is the constant of variation or the constant of inverse proportionality.

Since $x=2.5$ when $y=100,$ you have that

$100=\dfrac{k}{2.5}$

Evaluate k:

$k=100\cdot 2.5\\ \\k=250$

and

$y=\dfrac{250}{x}$