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| Section | Objectives |
|---|---|
| Topic 1: Exponential and Logarithmic Concepts | - Logarithmic Basics
|
| Topic 2: Linear Functions and Systems | - Linear Equations
|
| Topic 3: Functions and Graphs | - Function Concepts
|
| Topic 4: Foundations of Algebra | - Algebraic Expressions
|
| Topic 5: Polynomial and Rational Expressions | - Polynomials
|
1. A set of data was gathered and used to create a model for the number of subscribers to a blog. The function model is f(x)=190× # 0.99 # ^x where xrepresents the number of years since 2003 and f(x)represents the number of subscribers.
What is the correct interpretation of the average rate of change of the number of subscribers from 2012 to
2015? Round to the nearest whole number, if necessary.
A) The number of subscribers increases at an average rate of 2 subscribers per year.
B) The number of subscribers decreases at an average rate of 171 subscribers per year.
C) The number of subscribers decreases at an average rate of 2 subscribers per year.
D) The number of subscribers increases at an average rate of 171 subscribers per year.
2. The weekly number of players, P, in hundreds, on a gaming website is modeled by the graph. The horizontal axis shows the number of years since the website was launched.
When did the website reach the minimum weekly number of players?
A) Approximately 4 years after the website was launched
B) Approximately 11 years after the website was launched
C) Approximately 2 years after the website was launched
D) Approximately 12 years after the website was launched
3. A researcher collected data on the number of large donations per year to a charitable organization. The results are shown in the scatterplot. A regression function is graphed with r^2.
What is the appropriate range of x-values for extrapolation?
A) x=-3to x=21
B) x=0to x=18
C) Extrapolation is not appropriate because r^2 < 0.7.
D) Extrapolation is not appropriate because r^2 < 1.
4. A researcher collected data on the number of books donated per month to a thrift store over time. The results are shown in the scatterplot. A regression function is graphed with r
2
=0.99.
Which range of x-values is appropriate for extrapolation?
A) x=0 to x=20
B) Extrapolation is not appropriate because r
2
< 1.
C) x=2.5 to x=17.5
D) Extrapolation is not appropriate because r
2
> 0.7.
5. 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 1.0 > 0.7
B) Town B, because 6.5 > 5.5
C) Town A, because 1.0 > 0.7
D) Town A, because 6.5 > 5.5
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: A | Question # 3 Answer: B | Question # 4 Answer: C | Question # 5 Answer: C |
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