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 distance alek has walked after walking for an hour is greater than the distance he has walked after half an hour.
b the distance alek walked during the first half hour is shorter than the distance he walked during the following half hour.
c 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.

Explanation:

• $D(0.5)$ represents the distance Alek walked in the first 0.5 hours (first half hour).
• $D(1) - D(0.5)$ represents the distance he walked between 0.5 hours and 1 hour (the following half hour).
• The inequality $D(0.5) < D(1) - D(0.5)$ means the first half-hour distance is less than the second half-hour distance.

Answer:

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