ellaspence10 ellaspence10
  • 12-04-2021
  • Mathematics
contestada

if c and d vary inversely, and d=5/3 and c=5. write a function that models inverse variation and find d when c=10

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 13-04-2021

9514 1404 393

Answer:

  • cd = 25/3
  • d = 5/6

Step-by-step explanation:

The inverse variation described can be either of ...

  c = k/d

or

  d = k/c

Either way, the equation can also be written as ...

  cd = k

For the given values of c and d, the value of k is ...

  (5)(5/3) = k = 25/3

So, the model can be written as ...

  cd = 25/3

or

  d = (25/3)/c

__

For c=10, the value of d is ...

  d = (25/3)/10 = 25/30

  d = 5/6

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