Question

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 time it took alek to walk the first half kilometer is shorter than the time it took him to walk the following half kilometer. b the distance alek has walked after walking for an hour is greater than the distance he has walked after half an hour. c the distance alek walked during the first half hour is shorter than the distance he walked during the following half hour.

Explanation:

• \(D(t)\) represents the distance walked after \(t\) hours.
• \(D(0.5)\) is the distance walked in the first half - hour.
• \(D(1)-D(0.5)\) is the distance walked in the second half - hour (from \(t = 0.5\) to \(t=1\)).
• The inequality \(D(0.5)<D(1)-D(0.5)\) means the distance in the first half - hour is less than the distance in the second half - hour.

Answer:

C. The distance Alek walked during the first half hour is shorter than the distance he walked during the following half hour.