Answer :

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

Answer:

The direct variation says that:

[tex]y \propto x[/tex] 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:

[tex]R = kS[/tex]

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

[tex]80 = 16k[/tex]

Divide both sides by 16 we get;

5 = k

⇒R=5S

Therefore, the constant of variation is, 5