Please help!!! find y and x

Mathematics

1 answer:

andrew11 [14]1 year ago

5 0

Answer:

a) y = 16/x²

b) x = 4/5

Step-by-step 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.

<h3>(a) Relation</h3>

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

<h3>(b) Value of x</h3>

Solving for x gives ...

x = √(16/y)

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

x = √(16/25)

x = 4/5

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