Question

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?

Answer 1

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 $\left[\begin{array}{ccc}3&4\\2&5\end{array}\right]= \left[\begin{array}{ccc}380\\370\\\end{array}\right]$