Question

An online store owner has 3,000 orders to fulfill. each day, the store owner aims to complete one-fourth of the orders remaining from the previous day. write the function that models the change between the number of days, t, and the number of orders remaining, f(t).

Answer 1

The function f(t) = 3000 * (1/4)^t models the change between the number of days and the number of orders remaining.

Step-by-step explanation:

The function that models the change between the number of days, t, and the number of orders remaining, f(t), can be represented as:

f(t) = 3000 * (1/4)t

This function represents exponential decay, where the number of orders remaining decreases by one-fourth each day. The exponent t represents the number of days, and the initial number of orders is 3000.