The owner of a The owner of a tree farm has 20 evergreens trees left to sell. Each one sells for $40 The function f(t) = 40t models the revenue the owner can make by selling the t remaining trees. What is the Practical Domain of the function? ***Hint: You cannot sell part of a tree. You have to sell them whole. ***
The practical domain of the function is the range of possible values for t, which in this case represents the number of trees remaining to be sold.
Since the owner cannot sell part of a tree, t must be a whole number. Additionally, the owner has 20 evergreens trees left to sell, so the maximum value for t is 20.
Therefore, the practical domain of the function is t = {0, 1, 2, 3, ..., 18, 19, 20}.
The practical domain of the function f(t) = 40t represents the range of values for t (the number of remaining trees) that are feasible in the given scenario. Since you cannot sell a fraction or part of a tree, t must be a whole number equal to or less than the total number of remaining trees, which is 20 in this case.
Therefore, the practical domain of the function is t ∈ {0, 1, 2, 3, ..., 19, 20}.
To find the practical domain of the function f(t) = 40t, we need to consider the constraints mentioned in the question. The key constraint here is that "You cannot sell part of a tree. You have to sell them whole."
Given that, we know that the number of trees remaining, t, must be a whole number since the owner cannot sell a fraction or part of a tree.
Moreover, we are told that the owner has 20 trees left to sell, so t must be less than or equal to 20 since the owner cannot sell more trees than they have.
Therefore, the practical domain of the function f(t) = 40t is the set of whole numbers less than or equal to 20. In mathematical notation, we can represent this as:
Domain = {t | t is a whole number and t ≤ 20}
In interval notation, we can represent the domain as:
Domain = [0, 20]