1 month ago

P varies inversely with x. If P = 14 when x= 16, find the value of P when x = 21.

Mathematics

1 answer:

tester [12.3K]1 month ago

7 0

Answer:

Option C. 32/3

Step-by-step explanation:

It is understood that

A relationship between two variables, x and y, signifies inverse variation if it can be represented as either $p*x=k$ or $p=k/x$

It is also known that

For p=14, x=16

Determine the value of k

$k=p*x$

By substituting these values

$k=(14)*(16)=224$

This shows that

The equation equals

$p=\frac{224}{x}$

Calculate the value of p when x=21

Substitute the given value of x into the equation

$p=\frac{224}{21}$

Simplify

Divide both the numerator and denominator by 7

$p=\frac{32}{3}$

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