andyroche14 andyroche14
  • 22-07-2019
  • Mathematics
contestada

y varies inversely as x, and y = 50 when x = 10. What is the value ofy when x = 20?
100

Respuesta :

SaniShahbaz
SaniShahbaz SaniShahbaz
  • 30-07-2019

Answer:

25

Step-by-step explanation:

Since y varies inversely with x, the relation between y and x will be:

[tex]y \propto \frac{1}{x}[/tex]

Introducing the proportionality constant, we can write:

[tex]y = \frac{k}{x}[/tex]

Using the first set of given values of x and y, we get:

[tex]50=\frac{k}{10}\\\\k = 500[/tex]

This means, the relation between y and x is:

[tex]y = \frac{500}{x}[/tex]

We have to find y if x = 20. Using this value in above equation, we get:

[tex]y=\frac{500}{20} \\\\ y = 25[/tex]

Thus y would be 25 if x is 20.

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