EXP30 Sales of the Supertimewaster cideo game is following the logistic model with parameters given below

where q is the number of games sold and t is the time in months.

What is the rate of sales at 10 months?

Solution: The logistic function is given as sales as a function of time in months. To find the rate of sales take the derivative and evaluate at the requested month.

The derivative of this specific function is

Evaluating at t = 10 will give the rate of sales at 10 months.

The supertimewaster video game is selling at the rate of 68 games per month at the tenth month.