Determine the constant of variation for the direct variation given.

R varies directly with S. When S is 16, R is 80.

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

Answered by hyekyung2019320 | 2024-06-10

The direct variation says that:
y ∝ 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 = k S
Substitute the given values S = 16 and R = 80 to solve for k;
80 = 16 k
Divide both sides by 16 we get;
5 = k
⇒R=5S
Therefore, the constant of variation is, 5 ;

Answered by OrethaWilkison | 2024-06-24

The constant of variation for R, which varies directly with S, is 5. This is determined by substituting known values into the direct variation equation R = kS and solving for k. The equation can be expressed as R = 5S.
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Answered by OrethaWilkison | 2024-09-24