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y is inversely proportional to x squared. given that y = 2.5 when x = 24.

  1. find an expression for y in terms of x y
  2. find the value of y when x=20
  3. find the value of x when y=16

Verified Answer :

irspow

If y is inversely proportional to x^2...

y=k/x^2, we are given that y=2.5 and x=24 so

2.5=k/24^2

k=2.5(24^2)

k=1440 so

y=1440/x^2

y(20)=1440/400=3.6 so y=3.6 when x=20

x^2=1440/y

x^2=1440/16

x^2=90

x=±√90

x=±3√10

approx...

x=-9.49 and +9.49  so there are two possible values for x when y=16

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