Suppose that x and y vary inversely, and x = 10 when y = 8. Write the function that models the inverse variation. a. y=2/x b. y=18/x c. y=80/x d. y=0.8x

Question

asked May 25, 2020 194k views

1 Answer

Chrissi · Answer 1 · 2020-05-30T01:42:55+0000

Answer:

c.

Explanation:

Given:

and
vary inversely.

Therefore, we can express y in terms of x as:

y=(k)/(x)

Where,
is a constant of proportionality.

Now, at
x=10,y=8

Plug in 10 for
and 8 for
in the above equation and solve for
.

This gives,

$8=(k)/(10)\\k=8* 10=80$

Therefore, the function that models the inverse variation is :

$y=(k)/(x)\\y=(80)/(x)$ .