Question

Y varies inversely with x, and k (the constant of variation) = 1.24. What is the value of y when x = 4.96?

Round to the nearest hundredth, if necessary.

Answer 1

Answer:= y = 0.25 to the nearest hundredth.

Explanation:

In inverse variation, both variables move in opposite directions. This means that as variable 1 increases, variable 2 reduces and as variable 1 reduces, variable 2 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 = 1.24

The value if x = 4.96

To find the value of y

y = k/x = 1.24/4.96

= 0.25 to the nearest hundredth.