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Alek went for a walk. D(t) models the distance Alek walked (in kilometers) after t hours. What does the statement D(0.5) < D(1)-D(0.5) mean? Choose 1 answer: (A) The distance Alek has walked after walking for an hour is greater than the distance he has walked after half an hour. (B) The time it took Alek to walk the first half kilometer is shorter than the time it took him to walk the following half kilometer. (C) The distance Alek walked during the first half hour is shorter than the distance he walked during the following half hour.

Alek went for a walk.\newlineD(t) D(t) models the distance Alek walked (in kilometers) after t t hours.\newlineWhat does the statement D(0.5) < D(1) - D(0.5) mean?\newlineChoose 11 answer:\newline(A) The distance Alek has walked after walking for an hour is greater than the distance he has walked after half an hour.\newline(B) The time it took Alek to walk the first half kilometer is shorter than the time it took him to walk the following half kilometer.\newline(C) The distance Alek walked during the first half hour is shorter than the distance he walked during the following half hour.

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Q. Alek went for a walk.\newlineD(t) D(t) models the distance Alek walked (in kilometers) after t t hours.\newlineWhat does the statement D(0.5)<D(1)−D(0.5) D(0.5) < D(1) - D(0.5) mean?\newlineChoose 11 answer:\newline(A) The distance Alek has walked after walking for an hour is greater than the distance he has walked after half an hour.\newline(B) The time it took Alek to walk the first half kilometer is shorter than the time it took him to walk the following half kilometer.\newline(C) The distance Alek walked during the first half hour is shorter than the distance he walked during the following half hour.
  1. Analyze the statement: Let's analyze the statement D(0.5) < D(1) - D(0.5).\newlineD(t)D(t) is the distance Alek walked after tt hours.\newlineD(0.5)D(0.5) is the distance Alek walked after half an hour.\newlineD(1)D(1) is the distance Alek walked after one hour.\newlineThe statement is comparing the distance walked in the first half hour to the distance walked in the second half hour.
  2. Understanding the inequality: To understand the inequality, we can think of D(1)D(1) as the total distance walked in one hour, and D(0.5)D(0.5) as the distance walked in the first half hour.\newlineThe expression D(1)−D(0.5)D(1) - D(0.5) represents the distance walked in the second half hour.\newlineThe inequality D(0.5) < D(1) - D(0.5) suggests that the distance walked in the second half hour is greater than the distance walked in the first half hour.
  3. Interpret the meaning: Now, let's interpret the meaning of the inequality in the context of the choices given.\newline(A) This choice is incorrect because it compares the total distance after one hour to the distance after half an hour, but it does not consider the comparison between the two half-hour segments.\newline(B) This choice is incorrect because it talks about the time taken to walk half kilometers, which is not what the inequality is about.\newline(C) This choice is correct because it directly states that the distance walked during the first half hour is shorter than the distance walked during the following half hour, which is what the inequality D(0.5) < D(1) - D(0.5) indicates.

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