Question

Suppose that y varies inversely with x. Write an equation for the inverse variation.
y = 2 when x = 5

Answer 1

\(\Large\color{red}{ \bf y~~varies~~inversely~~with~~x~~means, }\)

\(\Large\color{blue}{ \bf y= \frac{k}{x} }\) where x is the constant of variation.

Answer 2

saying that

\(\Large\color{blue}{ \bf 2= \frac{k}{5} }\) that gives k=10

Answer 3

\(\Large\color{blue}{ \bf y= \frac{10}{x} }\) would be your equation for any x.

Answer 4

i was just about to say that thanks again i have another one like that if i slove it can you just tell me if im right or wrong please?

Answer 5

y = 2.5 when x = 9
so its k = 22.5; y = 22.5x?

Answer 6

direct or inverse variation ?

Answer 7

inverse variation.

Answer 8

\(\Large\color{blue}{ \bf y= \frac{k}{x} }\)

\(\Large\color{blue}{ \bf 2.5= \frac{k}{9} }\) this gives k=22.5

thus you get \(\Large\color{blue}{ \bf y= \frac{22.5}{x} }\)

Answer 9

so im right?

Answer 10

Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation.
y = 2.5 when x = 9

Answer 11

the answer is what i just said right?