Respuesta :
Using an exponential function, it is found that the prediction for the number of sales in month 5 is of 480.
What is an exponential function?
A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Researching the problem on the internet, it is found that:
- In the first month, 7680 shoes were sold, hence [tex]A(0) = 7680[/tex].
- Each month, the amount sold is half the previous month amount, hence [tex]1 - r = 0.5[/tex].
Then, the equation is:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 7680(0.5)^t[/tex]
Hence, for month 5, the prediction is:
[tex]A(5) = 7680(0.5)^5 = 480[/tex]
You can learn more about exponential functions at https://brainly.com/question/25537936
