2
QuizMultiple Choice

Modeling with Matrices

Question 2 • GA-Advanced Algebra: Concepts and Connections CR

A company sells herb blends for cooking. The tables below show the number of teaspoons of each herb in each blend and the cost for each blend. Number of Teaspoons of Herb per Blend BasilOreganoParsleyBlend 1123Blend 2112Blend 3221 CostBlend 1$1.06Blend 2$0.72Blend 3$0.99What is the cost of basil per teaspoon?

Answer
A
$0.15
B
$0.18
C
$0.19
D
$0.23

Explanation

Let b, o, and p be the costs per teaspoon of basil, oregano, and parsley. The blend costs give b + 2o + 3p = 1.06, b + o + 2p = 0.72, and 2b + 2o + p = 0.99. Solving these equations gives b = 0.23, so basil costs $0.23 per teaspoon (choice D).

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