You purchase muffins for you and your coworkers. You buy a total of 15 muffins for $27.50. Each blueberry (x) costs $1.50, each chocolate chip (y) costs $2, and each banana nut (z) costs $2.50. You know that you will need twice as many blueberry as chocolate chip muffins. How many of each type of muffin did you buy? The system of equations is \begin{cases} x+y+z=15 \\ 1.5x+2y+2.5z=27.50 \\ x=2y \end{cases}{ x + y + z = 15 1.5 x + 2 y + 2.5 z = 27.50 x = 2 y Using the elimination method, group the first two equations together and eliminate the x. What is the resulting equation containing only y and z?

The height of a birch tree, f(x), in inches, after x months is shown in the graph below. how much does the birch tree grow per month, and what will be the height of the birch tree after 10 months? a. the birch tree grows 1 inch per month. the height of the birch tree will be 16 inches after 10 months. b. the birch tree grows 2 inches per month. the height of the birch tree will be 26 inches after 10 months. c. the birch tree grows 3 inches per month. the height of the birch tree will be 36 inches after 10 months. d. the birch tree grows 2 inches per month. the height of the birch tree will be 24 inches after 10 months.