Pvaries 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

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 or

we know that

For p=14, x=16

Find the value of k

substitute the values

so

The equation is equal to

Find the value of p when x=21

substitute the value of x in the equation

simplify

Divide by 7 both numerator and denominator

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step-by-step explanation: