anonymous
  • anonymous
Is the equation y = 5(0.5)x an example of growth or decay?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1343887344705:dw|
anonymous
  • anonymous
What's going on with y as x keeps getting bigger?
ParthKohli
  • ParthKohli
Why growth?\[0.05^2 <0.05^1 \]That proves that it's decay itself.

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ParthKohli
  • ParthKohli
If the second power is less than the first, then we have an exponential decay. Get it?
anonymous
  • anonymous
Yes, I believe the OP means raised to the power of x. Not linear in x.
anonymous
  • anonymous
|dw:1343887451360:dw|
anonymous
  • anonymous
if its a raised power then may be its decay
ParthKohli
  • ParthKohli
@Hashir The question is\[5 \times 0.5^x\]
anonymous
  • anonymous
Well, if its raised to x, its DEFINITELY decay, not maybe.
anonymous
  • anonymous
so if the number in the parentheses is lower then 1 its decay
ParthKohli
  • ParthKohli
When people copy and paste questions, they don't type out ^ before powers.
UnkleRhaukus
  • UnkleRhaukus
\[y(x) = 5(0.5)^x\] lets try some points \[y(0) = 5(0.5)^0=5\] \[y(1) = 5(0.5)^1=5\times0.5=2.5\] \[y(2) = 5(0.5)^2=5\times0.25=1.25\] as x goes up y decreases , decay
ParthKohli
  • ParthKohli
UnkleRhaukus
  • UnkleRhaukus
|dw:1343887585554:dw|
UnkleRhaukus
  • UnkleRhaukus
|dw:1343887677903:dw|

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