Lesson 5.6 Direct Variation

Tell whether the following quantities vary directly. That is, do the following ordered pairs show direct variation?

(-2, -2)

(0, 0)

(2, 2)

(4, 4)

• Yes

• No

Tell whether the following quantities vary directly. That is, do the following ordered pairs show direct variation?

(0, 2)

(1, 3)

(2, 4)

(3, 5)

• Yes

• No

Tell whether the following quantities vary directly. That is, do the following ordered pairs show direct variation?

 $\left(-2,\ -\frac{5}{2}\right)\ and\ \left(6,\ \frac{15}{2}\right)$  

• Yes

• No

Tell whether x and y show direct variation.

• Yes

• No

Tell whether x and y show direct variation. If so, find k.

• Yes; k = -2

• Yes; k = 3

• Yes; k = 1/3

• There is no direct variation.

Tell whether x and y show direct variation. If so, find k.

• Yes; k = 5

• Yes; k = 1/5

• Yes; k = -5

• There is no direct variation.

Tell whether x and y show direct variation. If so, find k.

• Yes; k = 3

• Yes; k = -2

• Yes; k = -3

• There is no direct variation.

Tell whether x and y show direct variation. If so, find k.

• Yes; k = 5

• Yes; k = 7

• Yes; k = 5/7

• There is no direct variation.

The variables x and y vary directly. Choose the correct direct variation equation that relates x and y.

y = 15; x = 3

•  $y=5x$  

•  $y=\frac{x}{5}$  

•  $y=3x$  

•  $x=5y$  

The variables x and y vary directly. Choose the correct direct variation equation that relates x and y.

y = 10; x = 40

• $y=4x$

• $x=4y$

• $y=\frac{1}{4}x$

• $x=\frac{1}{4}y$