Question

16)

- In Miller county, the voting in annual elections have gone down by a consistent percentage each year and can be modeled by
the function y = 5,700(0.94) What does the value 0.94 represent in the function?
The decay factor of voters.
The initial number of voters.
The number of time intervals.
The number of voters after t years.

Answer 1

"The decay factor of voters."

Explanation:

The function given has a form of:

`y=A(1-r)^t`

Where

A is the initial value

1-r is the decay factor

r is the rate of decay

t not given

Note: it would be 1+r if it was an increase problem and r would be the growth rate

Thus, matching the equations, we see that:

A = 5700

1-r = 0.94

r = 1 - 0.94 = 0.06 (6%)

The 0.94 factor is the "decay factor" of the number f voters. So, the first answer choice is right --- "The decay factor of voters."