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| Section | Objectives |
|---|---|
| Topic 1: Functions and Graphs | - Graphing Functions
|
| Topic 2: Linear Functions and Systems | - Systems of Equations
|
| Topic 3: Polynomial and Rational Expressions | - Rational Expressions
|
| Topic 4: Exponential and Logarithmic Concepts | - Logarithmic Basics
|
| Topic 5: Foundations of Algebra | - Equations and Inequalities
|
1. The number of people auditioning for a game show is expected to be 4 times the number of people who auditioned last year. The function A(t) can be used to model the situation, where t represents the number of people who auditioned last year and A represents the number of people expected to audition this year.
Which quantity represents the number of people expected to audition this year, given that 330 people auditioned last year?
A) A(1,320)=330
B) A(330)=82
C) A(330)=1,320
D) A(82)=330
2. The function P(t)represents the yearly profit, in millions of dollars, for a streaming service since opening. The graph of P(t)is shown.
What is the correct interpretation of the maximum value?
A) Approximately 22 years after opening, a maximum yearly profit of approximately $235,000was earned.
B) Approximately 22 years after opening, a maximum yearly profit of approximately $1,410,000was earned.
C) Approximately 10.5 years after opening, a maximum yearly profit of approximately $235,000was earned.
D) Approximately 10.5 years after opening, a maximum yearly profit of approximately $1,410,000was earned.
3. The populations, in thousands, of two towns are shown in the graph, where the horizontal axis measures the time in years.
Which town's population is growing at a faster rate?
A) Town B, because 1.3 > 1.1
B) Town A, because 6.5 > 5.5
C) Town A, because 1.3 > 1.1
D) Town B, because 6.5 > 5.5
4. The number of comments on a social media post is represented by the logistic function f(x), whose graph is shown, where xrepresents the number of days since the post was created and f(x)represents the number of comments on day x.
How does the number of comments change as time progresses from day 1 to day 17?
A) The number of comments decreases faster and faster.
B) The number of comments increases faster and faster.
C) The number of comments decreases slower and slower.
D) The number of comments increases slower and slower.
5. As sacks are unloaded off a wagon, the total weight of the wagon and sacks changes. Each sack has the same weight. After 5 sacks are removed, the total weight of the wagon and remaining sacks is 135 pounds. After 9 sacks are removed, the total weight is 87 pounds. What is the weight of each sack?
A) 75 pounds
B) 12 pounds
C) 27 pounds
D) 20 pounds
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: D | Question # 3 Answer: A | Question # 4 Answer: B | Question # 5 Answer: B |
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