miahorns24 miahorns24
  • 11-02-2020
  • Mathematics
contestada

If y varies inversely as x and y=32 when x=3 find x when y=15

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altavistard
altavistard altavistard
  • 11-02-2020

Answer:

x = 45/32

Step-by-step explanation:

The governing equation here is y = kx, where k is the constant of proportionality.

If y = 32 when x = 3, then we have    32 = k(3).

Dividing both sides by 3, we get k = 32/3.

Then the governing equation becomes

y = (32/3)x

If we now let y = 15 (given), then

15 = (32/3)x

Multiplying both sides by the reciprocal of 32/3, we get:

(3/32)(15) = (3/32)(32/3)x, or    x = 45/32

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