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ss7ja [257]
3 years ago
10

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

Mathematics
2 answers:
grandymaker [24]3 years ago
6 0

Answer:

The constant of variation is 5.

Step-by-step explanation:

In direct variation, as y varies directly with x, the standard equation is

y = kx,

where k is the constant of variation.

In your case, we use R and S. R varies directly with S, so we have

R = kS

We know that when S = 16, R is 80, so we plug in those values and solve for k, the constant of variation.

R = kS

80 = k(16)

k = 80/16

k = 5

Answer: The constant of variation is 5.

Tpy6a [65]3 years ago
6 0

Answer:

Constant of variation is 5

Step-by-step explanation:

R varies directly with S.

When y directly varies with x then equation is y=kx, where k is the constant of proportionality.

Given : R varies directly with S. So equation is R=kS

The value of R is 80 and S is 16.

Plug in the values and find out k (constant of variation for direct variation)

R=kS

80=k(16)

Divide both sides by 16

k=5

Constant of variation is 5

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