Determine the constant of variation for the direct variation given.

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

1/5
5
16

Respuesta :

Answer:

B. 5

Step-by-step explanation:

We have been given that R varies directly with S. When S is 16, R is 80. We are asked to find constant of variation.

We know that two directly proportional quantities are in form [tex]y=kx[/tex], where,

k = Constant of variation.

Upon substituting our given values, we will get:

[tex]R=k*S[/tex]

[tex]80=k*16[/tex]

[tex]\frac{80}{16}=\frac{k*16}{16}[/tex]

[tex]5=k[/tex]

Therefore, the constant of variation is 5 and option B is the correct choice.