Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.
Proportional relationships are relationships between two variables where their ratios are equivalent.
Inverse variation It is expressed as;
x ∝ 1/r then x = k/y
Where k is the proportionality constant.
Given the data in the question;
First we find the proportionality constant.
x = k/y
4 = k / -9
k = -36
Now, If x = 6 then y = ?
x = k/y
6 = -36 / y
6y = -36
y = -36 / 6
y = -6
Given that X varies inversely as Y, the value of Y when the number of X is increased to the given value is -6.
Learn more about proportionality here: brainly.com/question/11202658
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