10
QuizMultiple Choice

Modeling with Matrices

Question 10 • GA-Advanced Algebra: Concepts and Connections CR

Melissa made a total of 14 baskets during her last basketball game. She made a number of 2-point baskets and a number of 3-point baskets for a total of 33 points. Using matrices to solve, how many 3-point baskets did Melissa make in her last basketball game?

Answer
A
3
B
5
C
9
D
11

Explanation

Let x be the number of 2-point baskets and y the number of 3-point baskets. The equations are x + y = 14 and 2x + 3y = 33, which can be written as a matrix system. Subtracting twice the first equation from the second gives y = 33 − 28 = 5, so Melissa made 5 three-point baskets, choice B.

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