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1. The function f(z) represents the relationship between the number of units in two inventories, where z is the number of units in inventory A and f(z) is the number of units in inventory B. The number of units in inventory B is 2 more than the number of units in inventory A. Which function represents this situation?
A) f(z)=z#2
B) f(z)=z/2
C) f(z)=z+2
D) f(z)=2z
2. The graph shows the number of people at an event venue after 3:00 p.m., in thousands.
Which rate of change is the greatest?
A) The instantaneous rate of change at point D
B) The average rate of change from point C to point D
C) The instantaneous rate of change at point C
D) The average rate of change from point A to point C
3. The function P(t)represents the daily profit, in hundreds of dollars, for a museum since opening. The graph of P(t)is shown.
What is the correct interpretation of the maximum value?
A) Approximately 9.5 years after opening, a maximum daily profit of approximately $1,650was earned.
B) Approximately 9.5 years after opening, a maximum daily profit of approximately $299was earned.
C) Approximately 20 years after opening, a maximum daily profit of approximately $299was earned.
D) Approximately 20 years after opening, a maximum daily profit of approximately $1,650was earned.
4. The exponential function
f(x)=280× # 1.08 # ^x
represents the number of subscribers to a blog, where xrepresents the number of years since 2003 and f(x) represents the number of subscribers.
Which statement correctly interprets the average rate of change of the number of subscribers from 2003 to
2007? Round to the nearest whole number, if necessary.
A) The number of subscribers decreases at an average rate of 330 subscribers per year.
B) The number of subscribers decreases at an average rate of 25 subscribers per year.
C) The number of subscribers increases at an average rate of 330 subscribers per year.
D) The number of subscribers increases at an average rate of 25 subscribers per year.
5. The function F(n) represents the relationship between the number of animals in two enclosures, where n is the number of animals in enclosure A and F is the number of animals in enclosure B. The number of animals in enclosure B is 20 more than the number of animals in enclosure A.
Which function represents this situation?
A) F(n)=n#20
B) F(n)=n/20
C) F(n)=20n
D) F(n)=n+20
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: C | Question # 3 Answer: A | Question # 4 Answer: D | Question # 5 Answer: D |
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