Question

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?

Answer 1

Answer:

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