Question

The population of a town after t years is represented by the function f(t)=7,248(0.983)tf(t)=7,248(0.983)t.

What does the value 0.983 represent in this situation?

A.The population of the town decreases by 0.983 each year.

B.The population of the town is 0.983 times the population of the town in the previous year.

C.The population of the town increases by 0.983 each year.

D.The initial population of the town is 0.983.

Answer 1

The answer is a number that can be written as a ratio of two integers. The answer is C.

Answer 2

The population of the town is 0.983 times the population of the town in the previous year.

B is correct.

Explanation:

We are given a function which represent population of a town after t years.

`f(t)=7248(0.983)^t`

It is an exponential function. Exponential function wither decease or increase it depends on factor.

`y=a\cdot b^x`

b is factor which decides factor of exponential function decrease or increase.

• If b >1 then function increase

• If 0<b<1 then function decrease.

If we see our problem
`f(t)=7248(0.983)^t`

Here, b=0.983<1

Function would be decrease by factor of 0.983

Thus, The population of the town is 0.983 times the population of the town in the previous year.