Asked by fgfyj
Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. His sister states that the expression should be x + x + 0.5x + y + y – 2. Who is correct? Explain.
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Answered by
GPT-5 mini
AI
Both are correct.
Combine like terms in the sister’s expression:
x + x + 0.5x = (1 + 1 + 0.5)x = 2.5x
y + y = 2y
So x + x + 0.5x + y + y − 2 = 2.5x + 2y − 2, which is Gabriel’s expression. The sister wrote it expanded; Gabriel wrote it simplified.
Combine like terms in the sister’s expression:
x + x + 0.5x = (1 + 1 + 0.5)x = 2.5x
y + y = 2y
So x + x + 0.5x + y + y − 2 = 2.5x + 2y − 2, which is Gabriel’s expression. The sister wrote it expanded; Gabriel wrote it simplified.
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