Question

A certain population is initially 8,951 but declines by 8% every second. Find an exponential formula that gives the population as a function of time. What will be the population after half of a minute?

Answer 1

9514 1404 393

Answer:

734

Explanation:

The growth factor is 1 -8% = 0.92. This is the base of the exponential formula. The multiplier is the initial value, so you have ...

p = 8951×0.92^t

When t=30, this evaluates to ...

p = 8951×0.92^30 ≈ 733.68

The population after half a minute will be about 734.