Question

Gabriel determined that his total cost would be represented by 2.5x+2y–2. His sister states that the expression should be x + x + 0.5 x + y + y – 2. Who is correct? Explain.

Answer 1

Answer:

Sample response: Both Gabriel and his sister are correct. The two expressions are equivalent. Gabriel’s sister just needs to combine her like terms to get the same expression as Gabriel.

Step-by-step explanation:

Answer 2

Both Gabriel and his sister is correct.

GIVEN

Total cost determined by Gabriel.

TO FIND

The correct interpretation of the cost.

SOLUTION

The above problem can be simply solved as follows;

The algebraic expressions uses variables, constants and mathematical operations for a entity.

Cost determined by Gabriel = 2.5x + 2y -2

Cost stated by his sister = x + x + 0.5x + y + y - 2

If the second expression is solved,

Cost = 2.5x + 2y - 2

Which is equal to Gabriel's

Hence, Both Gabriel and his sister is correct.

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