Question

Questions 16-17. Suppose a tortoise is 1000 feet from the ocean. Each day the tortoise travels three-fifths of the remaining distance to the ocean. Use this information to: Construct a model that represents the remaining distance that the tortoise must travel to reach the ocean.

Answer 1

Answer:

  r(n) = 1000·(2/5)^n

Step-by-step explanation:

Since the tortoise travels 3/5 the remaining distance, the remaining distance at the end of the day is 2/5 of what it was at the beginning of the day. So, the function can be modeled by an exponential with a "growth" factor of 2/5:

  r(n) = 1000·(2/5)^n

where r(n) is the number of remaining feet after n days of travel.