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| Section | Objectives |
|---|---|
| Validity of Models | - Determine fit - Determine validity - Examine utility |
| Polynomial Functions | - Interpret concavity for polynomial functions - Interpret rates of change for polynomial functions - Interpret inputs and outputs for polynomial functions |
| Exponential Functions | - Interpret rates of change for exponential functions - Interpret concavity for exponential functions - Interpret inputs and outputs for exponential functions |
| Functions and Algebra of Functions | - Derive conclusions based on notation - Derive conclusions based on graphs - Derive conclusions based on data |
| Logistic Functions | - Interpret rates of change for logistic functions - Interpret inputs and outputs for logistic functions - Interpret asymptotes for logistic functions |
| Graphical Depictions | - Interpret maximum and minimum for situations - Interpret concavity for situations - Interpret rates of change for situations - Interpret asymptotes for situations - Interpret inputs and outputs for situations |
| Linear Functions | - Interpret rates of change for linear functions - Interpret inputs and outputs of linear functions |
1. As sacks are unloaded off a wagon, the total weight of the wagon and sacks changes. Each sack has the same weight. After 3 sacks are removed, the total weight of the cart and remaining sacks is 116 pounds. After 6 sacks are removed, the total weight is 101 pounds.
What is the weight of each sack?
A) 18 pounds
B) 32 pounds
C) 5 pounds
D) 81 pounds
2. A vehicle is travelling away from a rest stop. The function
D(t)=48t+23
represents the distance from the vehicle to the rest stop at time t, where t is measured in hours and D is measured in miles.
What is the value of D(1.7)?
A) 87.1
B) 23
C) 58.6
D) 104.6
3. The number of letters processed daily at a mail center is modeled by the decreasing exponential function shown in the graph.
Which value is the number of letters processed per day trending toward as time progresses, based on the equation of the horizontal asymptote?
A) 17
B) 8,500
C) 2,500
D) 4,250
4. The number of property sales in a region this year is expected to be 8 times the number of property sales in the region last year. The function H(x)represents the number of property sales this year, where xrepresents the number of properties sold last year.
Which notation represents the number of property sales this year, given that the number of properties sold last year was 360?
A) H(360)=45
B) H(2,880)=360
C) H(360)=2,880
D) H(45)=360
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 16 to day 18 be interpreted?
A) Over the 2-day period, the team approximately produced an additional 1.7 widgets in total.
B) Over the 2-day period, the team approximately produced an additional 0.8 widgets in total.
C) The team increased production by an average of approximately 1.7 widgets each day.
D) The team increased production by an average of approximately 0.8 widgets each day.
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: D | Question # 3 Answer: C | Question # 4 Answer: C | Question # 5 Answer: C |
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