Answer:
The system represents the maximum amount of money that the parks department can spend on trees and the relationship between the number of oak trees, x, and elm trees, y.
Step-by-step explanation:
Compare the given situation and inequality. Oak trees cost $60 each, therefore, the variable associated with 60 in the inequality, x, represents the number of oak trees. Elm trees cost $80 each, therefore the variable associated with 80 in the inequality, y, represents the number of elm trees.
The city has up to $9,600 to spend on trees and the inequality uses a less than symbol. This means that the solution set will be at or below 9,600, which means that it is a maximum.
Consider the second inequality in the system. It shows that x is less than or equal to 3 times y. This is associated with the situation in that the number of oak trees, x, is no more than three times the number of elm trees, y. This is the relationship between the two types of trees.
Therefore, the system represents the maximum amount of money that the parks department can spend on trees and the relationship between the number of oak trees, x, and elm trees, y.
. Let's say
is (0, 0) and
is (33, 56). This gets us that the length of this segment is 65 miles.