6
QuizMultiple Choice

Modeling with Matrices — Quiz

Question 6 • Advanced Algebra: Concepts and Connections

For a client, a landscaper purchases 3 oak trees and 4 maple trees for 380 dollars For his own home, the landscaper purchases 2 oak trees and 5 maple trees for 370 dollars Which augmented matrix represents the situation?

Answer
A
the 2 by 3 matrix row 1, 3 2 380 row 2, 4 5 370
B
the 2 by 3 matrix row 1, 4 5 380 row 2, 3 2 370
C
the 2 by 3 matrix row 1, 2 5 380 row 2, 3 4 370
D
the 2 by 3 matrix row 1, 3 4 380 row 2, 2 5 370

Explanation

Let the first column represent oak trees and the second represent maple trees. The client’s purchase gives 3 oak trees and 4 maple trees for $380, so the first row is 3, 4, 380. The landscaper’s purchase gives 2 oak trees and 5 maple trees for $370, so the second row is 2, 5, 370. This is choice D.

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