A psychologist contends that the number of facts of a certain type that are remembered after t hours is given by the following function. f(t)equals startfraction 85 t over 99 t minus 85 endfraction find the rate of change at which the number of facts remembered is changing after 1 hour and after 10 hours.

At t=1, Rate of Change=-36.86

At t=10 hours, Rate of Change =-0.0088

Step-by-step explanation:

The function which describes the number of facts of a certain type which are remembered after t hours is given as:

To determine the Rate of Change at the given time, we first look for the derivative of f(t).

Applying quotient rule:

At t=1

=-36.86

At t=10 hours

=-0.0088

step-by-step explanation:

f