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)t. What does the value 0.94 represent in the function?

Answer 1

Answer: Multiplicative rate of change in the voting in annual elections in Miller country.

Step-by-step explanation:

Given: In Miller county, the voting in annual elections have gone down by a consistent percentage each year and can be modeled by the function $5,700(0.94)^t$

Since, the above expression is an exponential function. [ ∵ t is the exponent ]

The standard exponential function is given by :-

$y=Pb^t$ ,where P is the initial amount ,  b is the multiplicative rate of change with respect to time period t.

As compare to the given expression, we get b= 0.94, which is the multiplicative rate of change in the voting in annual elections in Miller country.