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| Section | Objectives |
|---|---|
| Topic 1: Foundations of Algebra | - Equations and Inequalities
|
| Topic 2: Linear Functions and Systems | - Linear Equations
|
| Topic 3: Exponential and Logarithmic Concepts | - Exponential Functions
|
| Topic 4: Polynomial and Rational Expressions | - Rational Expressions
|
| Topic 5: Functions and Graphs | - Function Concepts
|
Question 1
The number of people auditioning for a game show is expected to be 7 more than 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(t) represents the number of people expected to audition this year.
Which quantity represents the number of people expected to audition this year, given that 440 people auditioned last year?
A. A(440)=447
B. A(440)=433
C. A(433)=440
D. A(447)=440
Question 2
The scatterplot shows data on the number of shirts sold at a gift shop per week over time. The graphed regression function has an r
2
value of 0.09.
Which range of x-values is appropriate for extrapolation?
A. Extrapolation is not appropriate because r
2
< 0.3.
B. x=#3 to x=21
C. Extrapolation is not appropriate because r
2
< 0.7.
D. x=0 to x=18
Question 3
The number of property sales in a region this year is expected to be 9 more than the number of property sales in the region last year. The function H(x) represents the number of property sales this year, where x represents 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 140?
A. H(149)=140
B. H(140)=131
C. H(140)=149
D. H(131)=140
Question 4
The value of a collectible artifact is represented by the function
f(x)=330× # 1.15 # ^x
In this function, xrepresents the number of years since 2005, and f(x)represents the value of the artifact, in dollars.
Which value represents the average yearly rate of change of the value of the artifact from 2006 to 2011?
A. 383.81
B. 76.76
C. 163.26
D. 571.41
Question 5
The value of an investment portfolio after x years is modeled by the function g(x)=3100(1.059) x
.
What is the value of the portfolio when x=10?
A. $5,823.94
B. $6,167.56
C. $5,193.08
D. $5,499.48
Solutions:
| Question 1 Answer: A | Question 2 Answer: A | Question 3 Answer: C | Question 4 Answer: B | Question 5 Answer: D |
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