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Please help!!!

find y and x

Please help!!! find y and x-example-1
User Metarmask
by
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1 Answer

4 votes

Answer:

a) y = 16/x²

b) x = 4/5

Explanation:

You want the equation for y in terms of x when y is inversely proportional to the square of x, and y is 16 when x is 1. Further, you want the value of x when y is 25.

(a) Relation

The wording "inversely proportional to the square" means the form of the equation is ...

y = k/x² . . . . . . where k is the constant of proportionality

The value of k can be found from the given (x, y) pair.

k = x²y = (1)²(16) = 16

The equation is ...

y = 16/x²

(b) Value of x

Solving for x gives ...

x = √(16/y)

Then the value of x for y = 25 is ...

x = √(16/25)

x = 4/5

User Brian Gottier
by
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