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1. The number of letters processed daily at a mail center is modeled by the decreasing exponential function shown in the graph.
What is the long-term trend in the number of letters processed per day, based on the equation of the horizontal asymptote?
A) 1,000
B) 25
C) 2,250
D) 4,500
2. A team was assembled at a manufacturing plant in order to boost productivity. The team was tasked with producing as many widgets each day as possible. The results are shown in the graph.
What is the correct interpretation of the average rate of change from day 6 to day 14?
A) Over the 8-day period, the team approximately produced an additional 1.2 widgets in total.
B) The team increased production by an average of approximately 1.2 widgets each day.
C) The team increased production by an average of approximately 2.5 widgets each day.
D) Over the 8-day period, the team approximately produced an additional 2.5 widgets in total.
3. The graphed function n(t)represents the number of people, n, at a park thours after 8:00 a.m. The plotted points Aand Bhave coordinates (2#110)and (6#182).
Which statement gives the correct interpretation of the average rate of change of the number of people over the interval from point Ato point B?
A) The number of people at the park increases at an average rate of 9 per hour.
B) The number of people at the park decreases at an average rate of 18 per hour.
C) The number of people at the park increases at an average rate of 18 per hour.
D) The number of people at the park decreases at an average rate of 9 per hour.
4. The graph shows the progress of a manufacturing team, modeling the number of widgets the team is able to produce each day since the team was formed.
How should the average rate of change from day 16 to day 18 be interpreted?
A) The team increased production by an average of approximately 1.7 widgets each day.
B) The team increased production by an average of approximately 0.8 widgets each day.
C) Over the 2-day period, the team approximately produced an additional 0.8 widgets in total.
D) Over the 2-day period, the team approximately produced an additional 1.7 widgets in total.
5. The growth of an animal population is shown in the graph. The instantaneous rate of change at point Pis 3.74.
Which interpretation of the instantaneous rate of change is correct?
A) In 2012, the population was increasing by 3.74 animals per year.
B) In 2012, the population was increasing by 3,740 animals per year.
C) In 2007, the population was increasing by 3.74 animals per year.
D) In 2007, the population was increasing by 3,740 animals per year.
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: C | Question # 3 Answer: C | Question # 4 Answer: A | Question # 5 Answer: D |
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