Question

a river cruise ship travels 28 miles up a river and then turns around and comes back. the trip takes 65 minutes. when graphed, the domain of this function is 0, 65. what does the domain represent?
a) the river cruise travels 28 miles total.
b) at any point in the cruise, the ship has been traveling from 0 to 65 minutes.
c) the trip will take at least 65 minutes.
d) the cruise ship will travel between 0 and 65 miles before returning to the dock.

Explanation:

The domain of a function represents the set of all valid input values. In this context, the function relates the ship's travel to time, with the total trip taking 65 minutes. The interval [0, 65] corresponds to all possible times the ship is traveling, from the start (0 minutes) to the end (65 minutes). Option A is incorrect because the total distance is 56 miles, not 28. Option C is wrong because the trip takes exactly 65 minutes, not at least. Option D is incorrect as the total distance is 56 miles, not 0-65 miles.

Answer:

B) At any point in the cruise, the ship has been traveling from 0 to 65 minutes.