Question

The function d(t) represents the distance gulliver is from home after t hours. Which of the following statement describes d(5)?

A) Gulliver was five miles from home after 4 hours.
B) After five hours, Gulliver was four miles from home.
C) After 5 hours, Gulliver was eleven miles from home.
D) Gulliver was five miles from home after four hours and again after 8.5 hours.

Answer 1

d(5) indicates Gulliver's distance from home after 5 hours; hence, the correct answer is that after five hours, Gulliver was four miles from home.

Step-by-step explanation:

The function d(t) represents the distance Gulliver is from home after t hours. Therefore, the expression d(5) specifically tells us Gulliver's distance from home after 5 hours. The correct statement that describes d(5) is option B) After five hours, Gulliver was four miles from home. This statement directly correlates the value inside the function (5) with the number of hours (5 hours) rather than the distance, which indicates that after 5 hours of travel, the distance from home is being reported. Keeping in mind that distance-traveled calculations depend on speed and time, and given the distance functions commonly plotted on a position versus time graph, one can visualize this relationship. In such a graph, the question's description would be represented by the point (5, d(5)) on the graph where 5 represents the time in hours and d(5) represents the distance at that time.