snakeeeeee205 snakeeeeee205
  • 12-02-2021
  • Mathematics
contestada

W varies directly as r cubed and inversely as s. If w=24 when r= 4 and s= 8, find out when w= 81 and s= 27?

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altavistard
altavistard altavistard
  • 15-02-2021

Translating the word problem into a symbolic statement:  W = kr³/s.  Find k by letting W = 24, r = 4 and s = 8:

       

         k·4³

24 = --------            

           8

This reduces to 3 = 4^3*k, or 3 = 64k, or k = 3/64 (the constant of proportionality).

       3r^3

w = ---------

         64

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