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

You don't have any choices here, but it's easy to determine what your matrix would look like by first writing the equations.  Oak trees is x and maple trees is y.  The first of our equations then is 3x + 4y = 380 and the second is 2x + 5y = 370.  In matrix form, that would be

The first one, i believe, would be correct. all the others have one thing in common, and that's that they have repeating numbers. in the second one, x and y have repeating 6's and 3's, and in the third, x and y have repeating 6's as well. in the last one, there are repeating 3's. the first one has no repeating numbers.