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Suppose x varies jointly as a and b. if c=90 when a=30 and b=28, find c when a=42 and b=16.

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KIZUNAHIGHIN

JOINT VARIATION

Suppose c varies jointly as a and b. if c=90 when a=30 and b=28, find c when a=42 and b=16.

The equation would be

c = kab

where x varies jointly as a and b ank k as the constant of variation.

Solve for k

Given

  • c = 90
  • a = 30
  • b = 28
  • k = ?

c = kab

90 = (30)(28)(k)

90 = 840k

90 / 840 = 840k / 840

k = 3/28

Find the value of c

Given

  • a = 42
  • b = 16
  • k = 3/28
  • c = ?

c = kab

c = (3/28)(42)(16)

c = (3)(42)(16) / 28

c = 2016 / 28

c = 72

[tex] \: [/tex]

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