Answer:
We write the generic form equation:
y = A (b) ^ t
We must use two points in the table to find the constants A and b
We have then:
For: t = 1, y = 55
55 = A (b)
For: t = 2, y = 60
60 = A (b) ^ 2
We solve the system of equations:
We divide both equations:
(60 = A (b) ^ 2) / (55 = A (b))
((60) / (55)) = b
b = 1.091
We substitute in any of the equations:
55 = A (b)
55 = A (1,091)
A = (55) / (1,091)
A = 50.41
The equation that models the problem is:
y = 50.41 * (1.09) ^ t
For t = 29 we have:
y = 613.5996987 (> 600)
Answer:
Assuming the trend continues the environment will not last until the population after 24 years.
Answer:
24
