Question

If x=0.5 when y=6.24 and y varies inversely with x, which shows y when x=2.6?

Answer 1

`y = 3.12/2.6 = 1.2`

Explanation:

Write the statement as an inverse proportion first:

`yprop 1/x`

A proportion can be changed to an equation by multiplying by a constant, k.

`y= k/x " "rArr k = x xx y`

Use the given values of x and y to find the value of k.

`k = 0.5 xx 6.24 = 3.12`

Write the equation with the value of k: `" "y=3.12/x`

Now use the final equation to find the required value of y if `x = 2.6`

`y = 3.12/2.6 = 1.2`