Question

Find a reasonable domain and range for this function:A charter boat travels at a maximum rate of 25 miles per hour. The function d(x)=25x represents the distance d(x), in miles, that the boat can travel in x hours. The charter boat travels a maximum distance of 75 miles from the shore?

Answer 1

• domain: 0 ≤ x ≤ 3
• range: 0 ≤ d ≤ 75

Explanation:

The problem statement tells you the maximum range is d=75 miles, so the maximum useful domain value is x=3. Negative values of hours or distance don't make any sense.

domain: [0, 3]

range: [0, 75]