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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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sqdancefan
Gabriel and his sister are in apparent agreement. There is insufficient information to tell whether they are correct or not.

Gabriel's representation is a more compact form of his sister's representation, but they mean the same thing.*

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* In some computer applications, one gets a different result from computing 2.5x than from computing x + x + 0.5x. This has to do with the way numbers are represented in the computer and the way they are rounded during multiplication and/or addition. For the purposes of algebra, the expressions mean the same thing.
adioabiola

Gabriel and his sister's expression mean the same; However, the information available is not sufficient to determine if they are correct or not.

According to the question;

  • Gabriel representation is; 2.5x + 2y – 2.
  • His sister's expression is; x + x + 0.5x + y + y – 2.

Upon computation; we find out that the expressions supplied by Gabriel and his sister are the same.

However, we must note that the information available is not sufficient to determine if both parties are correct or not.

Ultimately, if Gabriel is correct, then his sister is too and if otherwise, she is not correct too.

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