javonblake1695 javonblake1695
  • 07-04-2021
  • Mathematics
contestada

If y varies inversely as x, and y = 33 when x = 7, what is the constant and what is value of y when x=11?

Respuesta :

joaobezerra joaobezerra
  • 07-04-2021

Answer:

We have that y = 21 when x = 11.

Step-by-step explanation:

We solve this question by proportions, using a rule of three.

Since they vary inversely, we apply the inverse rule of three, that is, with lateral multiplication instead of diagonal.

33 - 7

y - 11

So

[tex]11y = 33*7[/tex]

Dividing both sides by 11

[tex]y = 3*7 = 21[/tex]

We have that y = 21 when x = 11.

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