If y varies directly as x, and the constant of variation is − 3 -3 − 3 , which equation represents this relationship?

y = − 3 x y=-\frac{3}{x} y = − x 3

y = x − 3 y=\frac{x}{-3} y = − 3 x

If the point ( 2 , − 10 ) \left(2,\ -10\right) ( 2 , − 1 0 ) lies on the graph of an inverse variation, which represents the inverse variation equation?

y = − 20 x y=-\frac{20}{x} y = − x 2 0

y = − 20 x y=-20x y = − 2 0 x

y = − 5 x y=-\frac{5}{x} y = − x 5

The point shown is an element of a direct variation. What are two other points that are also elements of this direct variation?

( 0 , 0 ) \left(0,0\right) ( 0 , 0 )

( 5 , − 2 ) \left(5,-2\right) ( 5 , − 2 )

( − 2 , 5 ) \left(-2,5\right) ( − 2 , 5 )

( 0 , − 5 ) \left(0,-5\right) ( 0 , − 5 )

( 0 , 5 ) \left(0,5\right) ( 0 , 5 )

A relation is shown in the table. Which statement about this relation is true?

It is a direct variation, because y = 3 2 x y=\frac{3}{2}x y = 2 3 x .

It is a direct variation, because x y = 24 xy=24 x y = 2 4 .

It is an inverse variation, because x y = 24 xy=24 x y = 2 4 .

It is an inverse variation, because y = 3 2 x y=\frac{3}{2}x y = 2 3 x .

Two relationships are described: Relationship A: John walked 6 miles in 2 hours, then he walked 12 miles in 4 hours. Relationship B: Adam baked 200 cookies in 2 hours, then he baked 500 cookies in 3 hours. Which statement is true about these relationships?

Only Relationship A is a direct variation.

Neither relationship is a direct variation.

Both relationships are direct variations.

Only Relationship B is a direct variation.

The point shown is an element of a direct variation. What are two other points that are also elements of this direct variation?

( 0 , 0 ) \left(0,0\right) ( 0 , 0 )

( − 8 , 6 ) \left(-8,6\right) ( − 8 , 6 )

( 6 , − 8 ) \left(6,\ -8\right) ( 6 , − 8 )

( 8 , 6 ) \left(8,6\right) ( 8 , 6 )

( 3 , 4 ) \left(3,4\right) ( 3 , 4 )

What is the solution to x + 5 ( x + 4 ) ≥ 6 x − 2 ( x + 5 ) x+5\left(x+4\right)\ge6x-2\left(x+5\right) x + 5 ( x + 4 ) ≥ 6 x − 2 ( x + 5 ) ?

− 15 ≤ x -15\le x − 1 5 ≤ x

− 15 ≥ x -15\ge x − 1 5 ≥ x

Resource Library

Math

Algebra

Direct And Inverse Variation

Direct And Inverse Variation 2

Direct and Inverse Variation 2

Authored by Robyn Thurston

Mathematics

8th - 12th Grade

Used 19+ times

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$y=-\frac{2}{5}x$

What type of variation?

Direct

Inverse

Neither

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$xy=40$

What type of variation?

Direct

Inverse

Neither

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$8x-2y=2$

What type of variation?

Direct

Inverse

Neither

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$\frac{y}{3}=x$

What type of variation?

Direct

Inverse

Neither

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What type of variation?

Direct

Inverse

Neither

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What type of variation?

Direct

Inverse

Neither

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What type of variation?

Direct

Inverse

Neither

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Direct and Inverse Variation 2

y=−25xy=-\frac{2}{5}xy=−52​x What type of variation?

xy=40xy=40xy=40 What type of variation?

8x−2y=28x-2y=28x−2y=2 What type of variation?

y3=x\frac{y}{3}=x3y​=x What type of variation?

What type of variation?

What type of variation?

What type of variation?

What type of variation?

What type of variation?

What type of variation?

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$y=-\frac{2}{5}x$

What type of variation?

$xy=40$

What type of variation?

$8x-2y=2$

What type of variation?

$\frac{y}{3}=x$

What type of variation?