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| Section | Objectives |
|---|---|
| Topic 1: Linear Functions and Systems | - Systems of Equations
|
| Topic 2: Foundations of Algebra | - Equations and Inequalities
|
| Topic 3: Polynomial and Rational Expressions | - Rational Expressions
|
| Topic 4: Functions and Graphs | - Graphing Functions
|
| Topic 5: Exponential and Logarithmic Concepts | - Logarithmic Basics
|
Question 1
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. $5,193.08
B. $6,167.56
C. $5,823.94
D. $5,499.48
Question 2
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=0to x=18
B. Extrapolation is not appropriate because r^2 < 0.7.
C. Extrapolation is not appropriate because r^2 < 1.
D. x=-3to x=21
Question 3
Consider the function
w(t)=0.03t^4-0.81t^3+7.55t^2-26.62t+44
which represents the number of workers, w, at a job site thours after 6:00 a.m.
What is the difference between w(4)and w(8)?
A. Approximately 4 hours
B. Approximately 8 workers
C. Approximately 8 hours
D. Approximately 4 workers
Question 4
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(140)=149
B. H(149)=140
C. H(140)=131
D. H(131)=140
Question 5
The given function represents the price of a commodity, p, in dollars, based on the number of months, m, since the beginning of 2020.
p(m)=5m+5
What is the average rate of change of the price over the interval m=1to m=10?
A. 32.5
B. 5
C. 45
D. 5.91
Solutions:
| Question 1 Answer: D | Question 2 Answer: A | Question 3 Answer: B | Question 4 Answer: A | Question 5 Answer: B |
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