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| Section | Objectives |
|---|---|
| Linear Functions and Systems | - Linear Equations
|
| Foundations of Algebra | - Equations and Inequalities
|
| Polynomial and Rational Expressions | - Polynomials
|
| Functions and Graphs | - Graphing Functions
|
| Exponential and Logarithmic Concepts | - Logarithmic Basics
|
1. Which statement correctly interprets u(8), given that u(t)=0.21t
3
#4.09t
2
+18.89t+69.5 represents the number of units, u, in an inventory warehouse t hours after 9:00 a.m.?
A) There are approximately 160 units in the inventory at 5:00 p.m.
B) There are approximately 160 units in the inventory at 10:00 a.m.
C) There are approximately 66 units in the inventory at 5:00 p.m.
D) There are approximately 66 units in the inventory at 10:00 a.m.
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 2.5 widgets in total.
B) The team increased production by an average of approximately 1.2 widgets each day.
C) Over the 8-day period, the team approximately produced an additional 1.2 widgets in total.
D) The team increased production by an average of approximately 2.5 widgets each day.
3. The graph shows the number of customers visiting a bookstore, where the number of days since the beginning of the month is along the horizontal axis and the number of customers visiting the bookstore each day is along the vertical axis. More customers show up to the store on days when new releases are featured than on other days.
Which days likely featured new releases?
A) New releases were likely featured on days 8 and 11.
B) New releases were likely featured on days 5 and 10.
C) New releases were likely featured on only day 5.
D) New releases were likely featured on only day 8.
4. The number of people auditioning for a game show is expected to be 3 less than the number of people who auditioned last year. The function A(t)can be used to model the situation, where trepresents the number of people who auditioned last year and Arepresents the number of people expected to audition this year.
Which quantity represents the number of people expected to audition this year, given that 280 people auditioned last year?
A) A(277)=280
B) A(280)=283
C) A(283)=280
D) A(280)=277
5. 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.
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: D | Question # 3 Answer: A | Question # 4 Answer: D | Question # 5 Answer: C |
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