Maximum Value From Rate of Change

Question

The function $$P(t) = t^3 - 4t^2 + 3t + 1$$ models the rate of change, in hundreds of people per hour, of the number of people in a shopping center for time $$t$$ hours, where $$0 \leq t \leq 2$$. Which of the following gives the time $$t$$ and the reasoning for when the number of people in the shopping center is at a maximum?

Accepted Answer

$$t = 1.445$$, because the rate of change in the number of people inside the shopping center changes from positive to negative.

Answer

$$t = 1.445$$, because the rate of change in the number of people inside the shopping center changes from increasing to decreasing.

Answer

$$t = 0.451$$, because the rate of change in the number of people inside the shopping center changes from positive to negative.

Answer

$$t = 0.451$$, because the rate of change in the number of people inside the shopping center changes from increasing to decreasing.

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	eesha.murugesan	4	5	2m 30s	240
#2	tadepallisreeja25	2	3	0m 58s	132
#3	giaawarikoo	1	1	0m 09s	91
#4	aboodanas44	1	1	1m 16s	24
#5	knowme.akshaj	1	2	1m 56s	-26
#6	meenakshiswapna2296	0	1	0m 20s	-30
#7	chunxiangxu.cxu	1	3	2m 13s	-53
#8	andrew.hsia9	0	1	2m 27s	-157
#9	judyguan42	0	2	5m 54s	-374
#10	hekim4066	0	2	7m 44s	-484

Maximum Value From Rate of Change

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