Question

T(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 Tid) for the interval d= 4 and d = 10 is 0. Which statement must be true?
The same number of tickets was sold on the fourth day and tenth day.
No tickets were sold on the fourth day and tenth day.
O Fewer tickets were sold on the fourth day than on the tenth day.
O More tickets were sold on the fourth day than on the tenth day
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Answer 1

The same number of tickets was sold on the fourth day and tenth day.

Explanation:

average rate of change from d = 4 to d = 10 is

(T(10) - T(4))/(10 - 4)

If the average rate of change is 0, then

(T(10) - T(4))/(10 - 4) = 0

T(10) - T(4) = 0 * 6

T(10) - T(4) = 0

T(10) = T(4)

That means the same number of tickets were sold on days 4 and 10.

Answer: The same number of tickets was sold on the fourth day and tenth day.