2
QuizMultiple Choice

Modeling with Matrices — Quiz

Question 2 • Algebraic Reasoning

A trail mix is made up of peanuts that cost p dollars per pound and dried fruit that costs d dollars per pound. A blend of 1 half pound of peanuts and 3 fourths pound of dried fruit costs 6 point 5 0 dollars A blend of 3 fourths pound of peanuts and 1 fourth pound of dried fruit costs 4 point 5 0 dollars Which matrix equation can be used to solve for the cost of 1 pound of peanuts and the cost of 1 pound of dried fruit?

Answer
A
the 2 by 2 matrix, row 1, column 1, 1 half column 2, 3 fourths row 2, column 1, 3 fourths column 2, 1 fourth the 2 by 1 column matrix p d is equal to the 2 by 1 column matrix 6 point 5 0 4 point 5 0
B
the 2 by 2 matrix, row 1, column 1, 1 half column 2, 3 fourths row 2, column 1, 3 fourths column 2, 1 fourth the 2 by 1 column matrix p d is equal to the 2 by 1 column matrix 4 point 5 0 6 point 5 0
C
the 2 by 2 matrix, row 1, column 1, 1 half column 2, 3 fourths row 2, column 1, 3 fourths column 2, 1 fourth the 2 by 1 column matrix d p is equal to the 2 by 1 column matrix 6 point 5 0 4 point 5 0
D
the 2 by 2 matrix, row 1, column 1, 1 half column 2, 3 fourths row 2, column 1, 3 fourths column 2, 1 fourth the 2 by 1 column matrix d p is equal to the 2 by 1 column matrix 4 point 5 0 6 point 5 0
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