The growth of a newly identified bacteria can be modeled by G (t) = 100 (1.037) 24t, where G (t) is the total number of cells after t hours. Based on the function, what it is the rate of change?

The rate of change of the function given = 3288

Step-by-step explanation:

Given in the question the equation:

G (t) = 100 (1.037) 24t

The average rate of change of function is given by this expression:

f (b) - f (a) / (b - a)

cells present at start = when t = 0

a = 0

cells present after an hour = t = 1

b = 1

Put these values in the formula

f (1) - f (0) / (1 - 0)

100 (1.037) 24 (1) - 100 (1.037) 24 (0) / 1

3288 - 0 / 1

3288 / 1

3288