Question

( Help ASAP ) y varies inversely with x. If x is 6.4 when y is 1.5, what is k, the constant of inverse variation?

Round your answer to the nearest hundredth, if necessary.

Answer 1

k = 9.6

Explanation:

When dealing with inverse variation, the two variables vary in opposite directions. This means that as the first variable increases, second variable decreases and as the first variable reduces,the second variable increases.

Y varies inversely with x.

So as y increases, x reduces and as y reduces, x increases.

We would proceed by introducing a constant of variation, k

y = k/x

From the information given,

The constant of variation = k

The value if x = 6.4

The value of y = 1.5

To find the value of k

y = k/x

k = yx = 1.5 × 6.4

k = 9.6