tippawan246893 tippawan246893
  • 13-07-2020
  • Mathematics
contestada

Suppose that y is directly proportional to x and that y = 16 when x = 8. Find the constant of proportionality k.
Then, find y when x = 12.

Respuesta :

folarin7
folarin7 folarin7
  • 26-07-2020

Answer:  24

Step-by-step explanation:

Variation: y  ∞  x

y  =  kx , where k is the constant of proportionality

now to find k, we substitute for y and x in the equation above

16 = 8k

therefore,

k = ¹⁶/₈

  = 2.

Now, to find y , we move back to the equation above and substitute for x and k to get y

y =   12(2)

  =  24

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