g and h are consecutive multiples of 4.Quantity A: 5(g – h)²Quantity B: 80Compare the two quantities and select the appropriate answer.A. Quantity A is greater.B. Quantity B is greater.C. The two quantities are equal.D. The relationship cannot be determined from the information given.
Question
g and h are consecutive multiples of 4.Quantity A: 5(g – h)²Quantity B: 80Compare the two quantities and select the appropriate answer.A. Quantity A is greater.B. Quantity B is greater.C. The two quantities are equal.D. The relationship cannot be determined from the information given.
Solution
Since g and h are consecutive multiples of 4, we can say that g = h + 4 or h = g - 4.
Let's substitute h = g - 4 into Quantity A:
Quantity A: 5(g – (g - 4))² = 5(4)² = 80
So, Quantity A = Quantity B = 80
Therefore, the answer is C. The two quantities are equal.
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