## anonymous 4 years ago Is the equation y = 5(0.5)x an example of growth or decay?

1. anonymous

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2. anonymous

What's going on with y as x keeps getting bigger?

3. ParthKohli

Why growth?$0.05^2 <0.05^1$That proves that it's decay itself.

4. ParthKohli

If the second power is less than the first, then we have an exponential decay. Get it?

5. anonymous

Yes, I believe the OP means raised to the power of x. Not linear in x.

6. anonymous

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7. anonymous

if its a raised power then may be its decay

8. ParthKohli

@Hashir The question is$5 \times 0.5^x$

9. anonymous

Well, if its raised to x, its DEFINITELY decay, not maybe.

10. anonymous

so if the number in the parentheses is lower then 1 its decay

11. ParthKohli

When people copy and paste questions, they don't type out ^ before powers.

12. 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

13. ParthKohli

Yes @greener6

14. UnkleRhaukus

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15. UnkleRhaukus

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