Calculus question

Question

Since January 1, 1960, the population of Slim Chance has been described by the formula P=42000(0.97)^t, where P is the population of the city t years after the start of 1960. At what rate was the population changing on January 1, 1985?

I am struggling to find the derivative for this.

Answer 1

You are given a formula for P, the population

The rate of change of the population is dP/dt

Taking the derivative of the function Ca^t , you get Ca^t ln(a) (This should be derived in text). January 1,1985 has t = 15. You can plug into the formula to find dP/dt at t = 15.

Please consider a tutor. Take care.