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1. The number of people, P, in a festival audience is represented by the graph, with the number of hours since the beginning of the festival along the horizontal axis and the size of the audience along the vertical axis.
Point Arepresents an audience size of 402 for the first hour of the festival, or P(0)=402.
Which ordered pair represents a point on the graph?
A) (2#401)
B) (8#409)
C) (10#407)
D) (4#404)
2. The value of a collectible coin can be modeled by F(t), where t represents years since the number of years since the coin was found, and the vertical axis represents the value, in thousands of dollars.
How is the value of the coin changing over time based on the graph?
A) The value of the coin is increasing slower and slower.
B) The value of the coin is decreasing faster and faster.
C) The value of the coin is decreasing slower and slower.
D) The value of the coin is increasing faster and faster.
3. The population of fish in a lake is changing according to the function
P(t)=462-35t
where tis the number of months since the beginning of the year and P(t)is the fish population at time t.
Which interpretation of the rate of change is correct?
A) The number of fish in the lake is increasing at a constant rate of 35 fish per month.
B) The number of fish in the lake is decreasing at a constant rate of 35 fish per month.
C) The number of fish in the lake is increasing at a constant rate of 462 fish per month.
D) The number of fish in the lake is decreasing at a constant rate of 462 fish per month.
4. The graph shows the number of people waiting in a virtual queue to buy tickets for an event.
What does the horizontal asymptote mean?
A) As time passes, the number of people in the queue approaches 100.
B) Eventually, the number of people in the queue will decrease to 0.
C) The number of people in the queue was initially 750.
D) Over time, the number of people in the queue will increase back up to 750.
5. 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 20 to day 26 be interpreted?
A) The team increased production by an average of approximately 5.5 widgets each day.
B) The team increased production by an average of approximately 2.7 widgets each day.
C) Over the 6-day period, the team approximately produced an additional 5.5 widgets in total.
D) Over the 6-day period, the team approximately produced an additional 2.7 widgets in total.
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: D | Question # 3 Answer: B | Question # 4 Answer: A | Question # 5 Answer: A |
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