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Rewrite y = 2(10)t/12 in the form y = a(1+r)t or y = a(1 - r). Round the value of r to

the nearest ten thousandth. Then tell whether the model represents exponential growth or
exponential decay.​

1 Answer

4 votes

Answer:


  • y=2(1+0.2115)^t
  • Exponential growth.

Explanation:

Given that:
y=2(10)^(t/12)

To rewrite the model in the form
y = a(1+r)^t or
y = a(1 - r)^t


y=2(10)^{(t)/(12) }\\=2[(10)^(1)/(12)]^(t)\\=2[1.2115]^t\\


y=2(1+0.2115)^t is in the form
y = a(1+r)^t or
y = a(1 - r)^t where r=0.2115.

Since 1.2115>1, the model represents an exponential growth.

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