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 [tex]p*x=k[/tex] or [tex]p=k/x[/tex]
we know that
For p=14, x=16
Find the value of k
[tex]k=p*x[/tex]
substitute the values
[tex]k=(14)*(16)=224[/tex]
so
The equation is equal to
[tex]p=\frac{224}{x}[/tex]
Find the value of p when x=21
substitute the value of x in the equation
[tex]p=\frac{224}{21}[/tex]
simplify
Divide by 7 both numerator and denominator
[tex]p=\frac{32}{3}[/tex]
