Alocal park is planning to plant new trees this spring. there will be two types of trees, elm trees and oak trees. due to environmental
constraints, the number of oak trees should be no more than three times the number of elm trees. oak tree saplings cost $60 each
and elm tree saplings cost $80 each. the parks department has $9,600 budgeted for this project.
600 + 80y < 9,600
i < 3y
which of the following statements represents the given situation?
a. the system represents the maximum amount of money that the parks department can spend on trees and the
relationship between the number of elm trees, x, and oak trees, y
b. the system represents the minimum 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
c. 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
d. the system represents the minimum amount of money that the parks department can spend on trees and the
relationship between the number of elm trees, x, and oak trees, y

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.

hi :)

Step-by-step explanation: