Question

When x = 3, y = 16 and when x = 6, y = 8. Which inverse variation equation can be used to model this function? y = y = 48x y = y =

Answer 1

Answer:

$y = \frac{48}{x}$

Step-by-step explanation:

Inverse variation:

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

then the equation is in the form of:

$y = \frac{k}{x}$                 ....[1]

where, k is the constant of variation.

As per the statement:

When x = 3, y = 16 and when x = 6, y = 8.

Substitute the value of x and y to find k.

Case 1.

When x = 3, y = 16

then;

$16=\frac{k}{3}$

Multiply by 3 both sides we have;

48 = k

or

k = 48

Case 2.

When x = 6, y = 8

then;

$8=\frac{k}{6}$

Multiply by 6 both sides we have;

48 = k

or

k = 48

In both cases, we get constant of variation(k) = 48

then the equation we get,

$y = \frac{48}{x}$

Therefore, the inverse variation equation can be used to model this function is, $y = \frac{48}{x}$

Answer 2

Y=48/x hope this helps you