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AssignmentMultiple Choice

Modeling with Systems of Linear Equations

Question 1 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Enrique has $50 in his lunch account and spends $5 per day from the account. Maya has $46 in her lunch account and spends $4 per day from the account. Which equations model the situation?50 – 5x = y and 46 – 4x = y5x + 50 = y and 4x + 46 = y5x – 50 = y and 4x – 46 = y5 – 50x = y and 4 – 46x = y

Answer
A
50 – 5x = y and 46 – 4x = y
B
5x + 50 = y and 4x + 46 = y
C
5x – 50 = y and 4x – 46 = y
D
5 – 50x = y and 4 – 46x = y

Explanation

Let x be the number of days and y be the amount left in the account. Enrique starts with $50 and spends $5 each day, so his balance is 50 − 5x. Maya starts with $46 and spends $4 each day, so her balance is 46 − 4x. Therefore, choice A models both accounts.

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