Answer:
A
Step-by-step explanation:
The general form of compound growth formula is:
![F=P(1+r)^t](https://tex.z-dn.net/?f=F%3DP%281%2Br%29%5Et)
Where
F is the future amount
P is the initial amount
r is the rate of growth in decimal
t is the time in years
In the problem, initially there is 825 quail, so
P = 825
The future amount is given as "Y", so we will replace "F" of formula by "Y"
The rate of growth in 13%. This converted to decimal is:
13/100 = 0.13
The time is 3 years, so t = 3
Now, we substitute and find the model equation:
![F=P(1+r)^t\\Y=825(1+0.13)^3\\Y=825(1.13)^3](https://tex.z-dn.net/?f=F%3DP%281%2Br%29%5Et%5C%5CY%3D825%281%2B0.13%29%5E3%5C%5CY%3D825%281.13%29%5E3)
Correct answer choice is A