Question

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

A)The decay factor of voters.

y = abx,

a = initial value

b = growth/decay factor

x = number of time intervals

Exponential decay:

y = a(1 − r)t

y = abt

y = 5,700(0.94)t

Therefore, 0.94 is the decay factor of voters.

Answer 2

"The decay factor of voters."

Explanation:

The compound decay equation is:

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

Where

y is the final value (after t years)

P is the initial value (here, 5700)

r is the rate of decay

t is the time in years

Looking at the "(0.94)" factor and matching with the equation, we see this part is:

(1-r) = 0.94

Solving for r,

r 0 1 - 0.94 = 0.06

0.06 * 100 = 6%

So, the decay is 6%

And, we can say (0.94) [[which is 1 - 0.06]], is the decay factor for voters.

First answer choice is right.