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.
Answer:
Constant of variation is 5
Step-by-step explanation:
R varies directly with S.
When y directly varies with x then equation is [tex]y=kx[/tex], where k is the constant of proportionality.
Given : R varies directly with S. So equation is [tex]R=kS[/tex]
The value of R is 80 and S is 16.
Plug in the values and find out k (constant of variation for direct variation)
[tex]R=kS[/tex]
[tex]80=k(16)[/tex]
Divide both sides by 16
[tex]k=5[/tex]
Constant of variation is 5
