Question

The owner of a tree farm has 10 evergreen trees left to sell. Each one sells for $40. The function r(t)=40t models the revenue the owner can make by selling the t remaining trees. Question 1 Enter your responses in the boxes to complete the statement. The fewest number of trees that can be sold is __, and the greatest number of trees that can be sold is __.

a) 0, 10
b) 1, 9
c) 2, 8
d) 3, 7

Answer 1

The function for revenue based on trees sold is r(t) = 40t. The minimum trees that can be sold is 0, and the maximum is all 10 trees available.

Step-by-step explanation:

The function r(t) = 40t relates the revenue (r) to the trees sold (t). Given that the owner has 10 evergreen trees left to sell, the minimum number of trees that can be sold is when t equals 0, which corresponds to selling no trees, and therefore no revenue. In contrast, the maximum number of trees that can be sold is when t equals 10, as this is the total number of trees available for sale. Therefore, the fewest number of trees that can be sold is 0, and the greatest number of trees that can be sold is 10.