Question

Suppose the function f(t) = 125000e0.35t gives the population of a city t years since 1970.Which of the following is true?The population decreases as t increases.The population increases as t increases.The population remains constant as t changes.

Answer 1

Given the function f(t) as follows:

`f(t)=125000\cdot e^(0.35t)`

As shown, f(t) is an exponential function with a base of (e) which is > 1

So, the correct statement will be:

The population increases as t increases.