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knotttalaya knotttalaya
  • 12-11-2014
  • Mathematics
Answered

Determine the constant of variation for the direct variation given.R varies directly with S. When S is 16, R is 80.

Verified Answer :

hyekyung2019320
hyekyung2019320 hyekyung2019320
  • 12-11-2014

"R varies directly with S" means R=?S.
R=5S
Constant of variation for the direct variation would be 5.

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OrethaWilkison OrethaWilkison
  • 05-02-2019

Answer:

The direct variation says that:

\(y \propto x\) then;

the equation is of the form:

y = kx , where k is the constant of variation.

As per the given statement:

R varies directly with S.

By definition of direct variation:

\(R = kS\)

Substitute the given values S = 16 and R = 80 to solve for k;

\(80 = 16k\)

Divide both sides by 16 we get;

5 = k

⇒R=5S

Therefore, the constant of variation is, 5

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