SOLUTION: y is inversely proportional to x. Find the percentage decrease in y when x increases by 150%.

Question 830693: y is inversely proportional to x. Find the percentage decrease in y when x increases by 150%.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
for some
Starting from , we have
An increase of 150% of would be an increase of , to a new value of .
With a value of that is times greater,
will be times smaller.
That means that the new value for will be
.
That is 40% of which is a decrease of from .

ANOTHER WAY TO CALCULATE IT:

The decrease, as a fraction of , is

Since we want it as a percentage of ,

RELATED QUESTIONS
Solve the problem. Y is inversely proportional to x. If y = 100 when x= 4, find y when x (answered by ankor@dixie-net.com)

three quantities t,x, and y such that t varies directly as x and inversely as the square... (answered by josgarithmetic,greenestamps)

If z varies directly as x and inversely as y, find the percentage change in z if x... (answered by Boreal)

``Given that X is inversely proportional to the square of Y. It is known that x = 8 for a (answered by Othel)

if y is inversely proportional to x and y=14 when x=4, find the constant of variation. (answered by Alan3354)

Y is inversely proportional to x and y = 4 when x = 1/2 find x when y = 10 (answered by ikleyn)

y is inversely proportional to x. y=30 when x=5. (a) Find the constant of... (answered by stanbon)

If y is inversely proportional to the square of x and has a value of 901 when x is 211,... (answered by Boreal)

Given y=3e^(2x) then the slope of the tangent line is: a) inversely proportional to x... (answered by richard1234)