Question

Assume that y varies inversely with x. If y= 16 when x = 0.5, find y when x = 32. y=[? ]

Answer 1

Answer:

1/4  (or .25)

Step-by-step explanation:

y varies inversely with x, so

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

for some constant k.  Use the given pair y = 16, x = 0.5 to find  k.

$16=\frac{k}{0.5} \\ 16(0.5) = k \\ k=8$

Now, use x = 32 to find y that corresponds to it.

$y=\frac{8}{32} = \frac{1}{4}$