Question

Over time, the number of organisms in a population increases exponentially. The table below shows the approximate number of

Answer 1

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

Answer 2

Answer:

24

Step-by-step explanation: