Question

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

Answer 1

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)`