Question

The population of a town after t years is represented by the function f(t)=7,28(0.983)t what does the value 0.983 represent in this situation

Answer 1

.983

Explanation:

Answer 2

Exponential function: A function is in the form of
`y =ab^x`; 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:
`f(t) = 7,28(0.983)^t`

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 decreases 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.