tiwontheballer1357 tiwontheballer1357
  • 23-12-2022
  • Mathematics
contestada

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

Respuesta :

Anshuyadav Anshuyadav
  • 28-12-2022

The value of p when x = 21 is p = 32/3 .

Given :

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

if x = 21

substitute the value of x in the equation

p = 224 / 21

Divide by 7 both numerator and denominator

p = 32 / 3

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