Average rate of change from to is .

represents the population at time .

Average rate of change is .

(a).

The average rate of change of the population from to hours.

In this case, .

Observe the table:

The population at time hours is.

The population at time hours is .

Substitute the values in .

Average rate of change from to :

 On average, the population is increasing at a rate of  gram/hour from to hours.

(b). 

The average rate of change of the population from to hours.

In this case, .

Observe the table:

The population at time hours is.

The population at time hours is .

Substitute the values in .

Average rate of change from to is

On average, the population is increasing at a rate of  gram/hour from to hours.

(c).

Observe the parts (a) and (b),

As time passes, the average rate of change is increasing.

(a). On average, the population is increasing at a rate of  gram/hour from to hours.

(b). On average, the population is increasing at a rate of  gram/hour from to hours.

(c). As time passes, the average rate of change is increasing.