Question

7. Suppose that y varies inversely with x. Write an equation for the inverse variation,

Answer 1

Answer:

The answer is

$y = \frac{24}{x}$

Step-by-step explanation:

The statement

y varies inversely with x is written as

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

where k is the constant of proportionality

To find k substitute the values of x and y into the equation

From the question

y = 4

x = 6

We have

$4 = \frac{k}{6}$

Cross multiply

k = 4 × 6

k = 24

So the formula for the variation is

$y = \frac{24}{x}$

Hope this helps you