Question

Subscriptions to a popular fashion magazine have gone down by a consistent percentage each year and can be modeled by the function y = 42,000(0.96)t. What does the value 42,000 represent in the function? A) The decay factor of subscribers. B) The initial number of subscribers. C) The number of time intervals. D) The number of subscribers after t years. Submit

Answer 1

B) the initial number of subscribers

Explanation:

Answer 2

B) The initial number of subscribers.

Explanation:

The given equation is:

`y=42000(0.96)^(t)`

`y=42000(1-0.04)^(t)`

We can compare this equation with the general model of exponential growth/decay:

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

Here A represents the initial amount, r represents the rate of decay and t represents the time in years.

Comparing both equations, we can see that 42,000 represents the Initial Quantity which in this case is the initial number of subscribers.

So option B gives us the correct answer.