Direct Variation Equations Explained

This video tutorial explains how to write direct variation equations from given situations. It covers the basic setup of direct variation as y = kx, and demonstrates solving examples with different values, including negative numbers, larger numbers, and fractions. The tutorial emphasizes the importance of writing the final equation correctly and provides step-by-step guidance for each example.

What is the standard form of a direct variation equation?

• y = mx + b

• y = x/k

• y = kx

• y = k + x

Tags

CCSS.HSF-LE.A.1B

In the equation y = kx, if y = 20 and x = 5, what is the value of k?

• 5

• 4

• 3

• 2

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CCSS.8.EE.B.6

CCSS.8.EE.C.7

CCSS.8.F.B.4

What is the final equation if y = 20 and x = 5 in a direct variation?

• y = x/4

• y = 20x

• y = 4x

• y = 5x

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CCSS.8.EE.B.6

CCSS.8.F.B.4

If y = -16 and x = -8, what is the value of k?

• 2

• 4

• 8

• 16

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CCSS.8.EE.C.7

What is the final equation if y = -16 and x = -8 in a direct variation?

• y = 2x

• y = -2x

• y = 8x

• y = -8x

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CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.A.3

CCSS.8.F.B.4

If y = 60 and x = 6, what is the value of k?

• 12

• 5

• 6

• 10

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CCSS.8.EE.C.7

CCSS.8.F.B.4

What is the final equation if y = 60 and x = 6 in a direct variation?

• y = 60x

• y = 10x

• y = 6x

• y = x/10

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CCSS.8.EE.B.6

CCSS.8.F.B.4

In a direct variation, if y = 705 and x = 3, what is the value of k?

• 235

• 250

• 200

• 215

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CCSS.8.EE.B.6

CCSS.8.EE.C.7

CCSS.8.F.B.4

CCSS.8.SP.A.3

What is the final equation if y = 705 and x = 3 in a direct variation?

• y = 3x

• y = 235x

• y = x/235

• y = 705x

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CCSS.8.EE.B.6

CCSS.8.F.B.4

In a direct variation with fractions, if y = 8/9 and x = 8/3, what is the value of k?

• 1/2

• 1/3

• 2/3

• 3/4

Tags

CCSS.8.EE.C.7

CCSS.8.F.B.4