topic badge

5.07 Direct and Inverse Variation

Interactive practice questions

Suppose the constant of variation $k$k is positive.

a

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.

A

When $x$x increases, $y$y decreases. When $x$x decreases, $y$y decreases.

B

When $x$x increases, $y$y increases. When $x$x decreases, $y$y increases.

C

When $x$x increases, $y$y decreases. When $x$x decreases, $y$y increases.

D
b

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.

A

When $x$x increases, $y$y increases. When $x$x decreases, $y$y decreases.

B

When $x$x increases, $y$y decreases. When $x$x decreases, $y$y decreases.

C

When $x$x increases, $y$y increases. When $x$x decreases, $y$y increases.

D
Easy
1min

Does the equation $y=5x$y=5x represent direct or inverse variation?

Easy
< 1min

Does the equation $y=\frac{5}{x}$y=5x represent direct or inverse variation?

Easy
< 1min

The period of a pendulum varies directly with the square root of its length.

If the length is quadrupled, what happens to the period?

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

8.5.E

Solve problems involving direct variation

What is Mathspace

About Mathspace