Answer 8w-32
Explanation multiply each term in parentheses by 8
8 w - 8 times 4
Multiply the numbers
Solution 8 w - 32
I will assume you meant f(n)=12(1.03^n) for exponential growth
a)
If the study concluded when the plant was 16.13cm we need to find when the study ended...
16.13=12(1.03^n)
16.13/12=1.03^n take the natural log of both sides
ln(16.13/12)=n*ln(1.03)
n=ln(16.13/12)/ln(1.03)
n≈10
So the study lasted for 10 days, so the domain should be n=[0,10]
b)
The y-intercept, when n=0 is 12 cm, which is the initial height of the plant.
c)
The average rate of change is just the change in height divided by the change in days...
a=(f(10)-f(3))/(10-3)
a=(12(1.03^10-1.03^3))/7
a≈0.431cm/day
This is the linear approximation of the growth rate per day.