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If t varies inversely with s and
It is 2 when.s is 36,
what is t when s is 3?

User Mnementh
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1 Answer

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Inverse Variation

If t varies inversely with s and

It is 2 when.s is 36,

what is t when s is 3?

What is inverse variation?

  • Inverse variation is a quantity of two variables that is equal to a constant.

t varies inversely as s: ts = k

Given:

  • t = 2
  • s = 36

To determine the constant of variation (represented by k), substitute the first two given values of s and t to the equation of variation.

  • ts = k
  • (2)(36) = k
  • 72 = k

To determine the value of t, substitute the second value of s and replace k to 72 (the value of the constant)

  • ts = k
  • 3t = 72
  • t = 72/3
  • t = 4

Answer:

  • The value of t is 4.

Wxndy~~

User Zarthross
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