Respuesta :
Answer:
Option 2) [tex]C = 550(1.00643)^{12t}[/tex]
Step-by-step explanation:
Given : The number of white-winged cross bills in an area can be represented by the formula C = 550(1.08)^t
General Growth Formula: [tex]A = P(1 + r)^t[/tex]
where, A = Amount after growth
P = Original amount
r = yearly growth rate
t= number of years
Comparing Formula C with the general formula:
A=C, P=550, t=t and (1+r)=1.08⇒r=0.08
Now, we have to find the equation represent the number of white-winged cross bills in terms of the monthly rate of population growth.
For monthly, the rate is divided by 12 and time is multiply by 12.
i.e, [tex]t= 12\times t=12t[/tex] and [tex]r=\frac{0.08}{12}=0.006[/tex]
The new equation formed → [tex]C = 550(1 + 0.006)^{12t}[/tex]
[tex]C = 550(1.006)^{12t}[/tex]
From the following formula option 2) is matched
Therefore, Option 2) is the correct answer.
