greener6
Is the equation y = 5(0.5)x an example of growth or decay?
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Hashir
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qpHalcy0n
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What's going on with y as x keeps getting bigger?
ParthKohli
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Why growth?\[0.05^2 <0.05^1 \]That proves that it's decay itself.
ParthKohli
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If the second power is less than the first, then we have an exponential decay. Get it?
qpHalcy0n
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Yes, I believe the OP means raised to the power of x. Not linear in x.
Hashir
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Hashir
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if its a raised power then may be its decay
ParthKohli
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@Hashir The question is\[5 \times 0.5^x\]
qpHalcy0n
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Well, if its raised to x, its DEFINITELY decay, not maybe.
greener6
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so if the number in the parentheses is lower then 1 its decay
ParthKohli
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When people copy and paste questions, they don't type out ^ before powers.
UnkleRhaukus
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\[y(x) = 5(0.5)^x\]
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
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Yes @greener6
UnkleRhaukus
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UnkleRhaukus
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