If y varies inversely as the square of x and y = 8 when x = 2, then what is the value of y when x = -1?

Skye Vazquez

Skye Vazquez

Answered question

2022-09-03

If y varies inversely as the square of x and y = 8 when x = 2, then what is the value of y when x = -1?

Answer & Explanation

Monserrat Ellison

Monserrat Ellison

Beginner2022-09-04Added 22 answers

According to the statement,
y 1 x 2
This expression takes us to the exact formula:
y = α x 2
where α is a constant of proportionality. To find it, we need a numerical value: y(x=2)=8. By substituting:
8 = α 2 2 α = 32
So our formula is:
y = 32 x 2
Now, let us calculate y(x=−1):
y = 32 ( - 1 ) 2 = 32

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