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Jeremy’s fruit stand sells peaches and watermelons. In the first hour the fruit stand is open, 12 bushels of peaches and 5 watermelons are sold for a total of $150. In the second hour, 15 bushels of peaches and 8 watermelons are sold for a total of $198. A bushel of peaches costs p dollars, and a watermelon costs w dollars. Which matrix equation represents the situation?

Answer :

carlosego
We define the variables:
 p: cost of bushel of peaches
 w: cost of watermelon
 We wrote the system of equations:
 12p + 5w = 150
 15p + 8w = 198
 We can represent the system in matrix form as
 Ax = b
 Where,
 A = [12 5; 15 8]
 b = [150; 198]
 x = [p; w]

The answer is C

The Matrix:

[12 5] [p] = [150]

[15 8] [w] = [198]

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