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

A. 224
B. 21/16
C. 32/3
D. 4,704

1 Answer

5 votes

Answer:

Option C. 32/3

Explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
p*x=k or
p=k/x

we know that

For p=14, x=16

Find the value of k


k=p*x

substitute the values


k=(14)*(16)=224

so

The equation is equal to


p=(224)/(x)

Find the value of p when x=21

substitute the value of x in the equation


p=(224)/(21)

simplify

Divide by 7 both numerator and denominator


p=(32)/(3)

User Krishna Raj Salim
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