contestada

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.​

Respuesta :

Answer:

  • [tex]y=2(1+0.2115)^t[/tex]
  • Exponential growth.

Step-by-step explanation:

Given that: [tex]y=2(10)^{t/12}[/tex]

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

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

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

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