Question

An inverse variation includes the points (5, 3) and (1, n). Find n.

Write and solve an inverse variation equation to find the answer.
n=
Submit

Answer 1

n = 15

Explanation:

the equation for inverse variation is

y =
`(k)/(x)` ← k is the constant of variation

to find k use the point (5, 3 ) , that is y = 3 when x = 5 , then

3 =
`(k)/(5)` ( multiply both sides by 5 )

15 = k

y =
`(15)/(x)` ← equation of variation

substitute (1, n ), that is x = 1, y = n into the equation

n =
`(15)/(1)` = 15