Question

The population of a town after t years is represented by the function (t)=7248(0. 983)t. What does the value 0. 983 represent in the situation?

Answer 1

Exponential function: A function is in the form of; where a is the initial value and b is a factor which decides the exponential function increases or decreases.

If

0<b <1 , then the exponential function decreases.

b> 1, then the exponential function increases.

Given the function:

Since this function f(t) represents the population of a town after t years.

Also, it is an exponential function.

here, b = 0.983 < 1

So, the function f(t) would be decreased by a factor of 0.983.

Therefore, the value 0.983 represents, the population of the town is 0.983 times the population of the town in the previous year.

Step-by-step explanation: