SOLUTION: Suppose x and y vary inversely, and x = 5 when y = 1.6 1. Write a function that models the inverse variation. 2. Find y when x = 32.

Algebra ->  Rational-functions -> SOLUTION: Suppose x and y vary inversely, and x = 5 when y = 1.6 1. Write a function that models the inverse variation. 2. Find y when x = 32.      Log On


   

Question 188108: Suppose x and y vary inversely, and x = 5 when y = 1.6
1. Write a function that models the inverse variation.

2. Find y when x = 32.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
if x varies inversely with y then
:
xy=k where k is the constant of variation
:
in this case: 5(1.6)=k---->k=8....so our equation is of the form
:
xy=8
:
when x=32-----> x(32)=8
:
x=8/32=1/4 or .25
:
in an inverse relationship when one variable increases the other decreases and vice versa.......so y increased from 1.6 to 32 and x decreased from 5 to .25