6
QuizMultiple Choice

Rate of Change — Quiz

Question 6 • Algebra II

cap t times d is a function that relates the number of tickets sold for a movie to the number of days since the movie was released. The average rate of change in cap t times d for the interval d is equal to 4 and d is equal to 10 is 0 Which statement must be true?

Answer
A
The same number of tickets was sold on the fourth day and tenth day.
B
More tickets were sold on the fourth day than on the tenth day.
C
No tickets were sold on the fourth day and tenth day.
D
Fewer tickets were sold on the fourth day than on the tenth day.

Explanation

The average rate of change from day 4 to day 10 is (T(10) − T(4)) ÷ (10 − 4). Since this rate is 0 and the number of days between the dates is 6, the change in tickets sold must be 0, so T(10) = T(4). Therefore, the same number of tickets was sold on the fourth day and tenth day.

AI-written and checked against the verified answer.

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