4.12 Direct and inverse variation
Interactive practice questions
Suppose the constant of variation $k$k is positive.
If $y$y varies directly as $x$x, which of the following is true?
When $x$x increases, $y$y increases. When $x$x decreases, $y$y decreases.
When $x$x increases, $y$y decreases. When $x$x decreases, $y$y decreases.
When $x$x increases, $y$y increases. When $x$x decreases, $y$y increases.
When $x$x increases, $y$y decreases. When $x$x decreases, $y$y increases.
If $y$y varies inversely as $x$x, which of the following is true?
When $x$x increases, $y$y decreases. When $x$x decreases, $y$y increases.
When $x$x increases, $y$y increases. When $x$x decreases, $y$y decreases.
When $x$x increases, $y$y decreases. When $x$x decreases, $y$y decreases.
When $x$x increases, $y$y increases. When $x$x decreases, $y$y increases.
Does the equation $y=5x$y=5x represent direct or inverse variation?
Does the equation $y=\frac{5}{x}$y=5x represent direct or inverse variation?
The period of a pendulum varies directly with the square root of its length.
If the length is quadrupled, what happens to the period?