Answered

Ask questions, share knowledge, and connect with a vibrant community on IDNLearn.com. Our experts provide prompt and accurate answers to help you make informed decisions on any topic.

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

Sagot :

Hyekyung2019320idn
"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

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For trustworthy and accurate answers, visit IDNLearn.com. Thanks for stopping by, and see you next time for more solutions.