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

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Answer 1 · 2016-07-16T22:19:11

$y = \frac{3.12}{2.6} = 1.2$ $y = 3.12/2.6 = 1.2$

Write the statement as an inverse proportion first:

$y \propto \frac{1}{x}$ $yprop 1/x$

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

$y = \frac{k}{x} \Rightarrow k = x \times y$ $y= k/x " "rArr k = x xx y$

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

$k = 0.5 \times 6.24 = 3.12$ $k = 0.5 xx 6.24 = 3.12$

Write the equation with the value of k: $y = \frac{3.12}{x}$ $" "y=3.12/x$

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

$y = \frac{3.12}{2.6} = 1.2$ $y = 3.12/2.6 = 1.2$