5
practice testMultiple Choice

Practice Test

Question 5 • Mathematics III

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?

Answer
A
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
B
The pool must have been empty for the entire interval.
C
The pool must have been deeper at the end of the interval than it was at the start of the interval.
D
The pool must have been more shallow at the end of the interval than it was at the start of the interval.

Explanation

Average rate of change is the change in depth divided by the length of the time interval. Since the interval lasted two weeks and the average rate was zero, the total change in depth was zero. Therefore, the pool had the same depth at the start and end of the interval, as stated in choice C.

AI-written and checked against the verified answer.

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