Question

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

Answer 1

Answer:

Option C. 32/3

Step-by-step 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

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

Find the value of p when x=21

substitute the value of x in the equation

$p=\frac{224}{21}$    

simplify

Divide by 7 both numerator and denominator

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