IGCSE (0607) - Variation

Determine if the relationship between the two quantities is a direct variation.

• This is a direct variation since the graph passes through the origin and the ratio of the number of miles to the number of hours is constant.

• This is not a direct variation since the graph does not pass through the origin and the ratio of the number of miles to the number of hours is not constant.

• This s a direct variation since the graph is a straight line and the ratio of the number of miles to the number of hours is constant

• This is not a direct variation since the graph is not a straight line and the ratio of the number of miles to the number of hours is not constant.

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.F.B.5

CCSS.8.SP.A.2

Is this a direct variation?

• yes
• no

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.

• yes, the constant of variation is 1/2

• yes, the constant of variation is 2

• no, there is constant of variation.

Tags

CCSS.8.EE.B.5

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.F.B.5

CCSS.8.SP.A.2

 y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?

• y=32x
• y=16x
• y=2x
• y=(1/2)x

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

y varies directly with the square of x.  If y=40 when x=4, find y when x = 7

• 17.5
• 70
• 122.5

Tags

CCSS.8.F.A.1

CCSS.8.F.B.4

Determine the type of variation:

• Direct

• Inverse

• Neither

Which of the following represents indirect variation?

• y = kx
• y = k/x
• y = x/k
• y = mx + b

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

The width of a rectangle varies inversely with its length.  If the width is 6 when the length is 24, give an equation that shows the relationship.

• y = 4x
• y = 144x
• y = 4/x
• y = 144/x

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

a varies inversely as the square of b. If a is 1 when b is 3, find a when b is 5. 

• 0.36
• 9
• 25
• 36

Write an equation that represents y as directly proportional to the square of z and inversely proportional to w.

• y=kz²/w

• y=kz/w

• y=w/kz²

• y=w/kz