kianaowens40
kianaowens40 kianaowens40
  • 15-05-2020
  • Mathematics
contestada

Assume that y varies inversely
with x. If y= 16 when x = 0.5,
find y when x = 32.
y=[? ]

Respuesta :

ivycoveredwalls
ivycoveredwalls ivycoveredwalls
  • 15-05-2020

Answer:

1/4  (or .25)

Step-by-step explanation:

y varies inversely with x, so

[tex]y=\frac{k}{x}[/tex]

for some constant k.  Use the given pair y = 16, x = 0.5 to find  k.

[tex]16=\frac{k}{0.5} \\ 16(0.5) = k \\ k=8[/tex]

Now, use x = 32 to find y that corresponds to it.

[tex]y=\frac{8}{32} = \frac{1}{4}[/tex]

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