Question

SOLVE: y varies inversely with twice the value of x.
When y = 8, x = 2. Find y when x = 8.

Choose one answer.
a. 2
b. 16
c. 24
d. 32

Answer 1

If \(y\) varies inversely with \(2x\), that means
\[y = \frac{k}{2x}\]where \(k\) is a constant. Use the values you have for \(x,y\) to find \(k\) and then your answer.

Answer 2

If \(y\) varies directly with \(2x\), the formula would be \[y=k(2x) = 2kx\]