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Mathematics College

The variable z is inversely proportional to x. When x is 16, z has the

The variable z is inversely proportional to x. When x is 16, z has the value 0.875. What is the value of z when x= 21?

2 months ago

Solution 1

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2 months ago

For $z$ and $x$ to be inversely proportional, there must be some constant $k$ such that

$zx=k$

Given that $z=0.875$ when $x=16$ , it follows that

$0.875\cdot16=k\implies k=14$

Then when $x=21$ , we have

$21z=14\implies z=\dfrac{14}{21}=\approx0.667$

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