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| Section | Objectives |
|---|---|
| Topic 1: Polynomial and Rational Expressions | - Polynomials
|
| Topic 2: Functions and Graphs | - Function Concepts
|
| Topic 3: Foundations of Algebra | - Equations and Inequalities
|
| Topic 4: Linear Functions and Systems | - Linear Equations
|
| Topic 5: Exponential and Logarithmic Concepts | - Logarithmic Basics
|
1. The figure displays the graphs of two functions representing the heights, h_1and h_2, in feet, of two balls tseconds after being launched.
Which ball was lower 0.9seconds after being launched?
A) Ball 1, because the height of ball 1 is less than the height of ball 2 at t=0.9.
B) Ball 1, because the height of ball 2 is less than the height of ball 1 at t=0.9.
C) Ball 2, because the height of ball 2 is less than the height of ball 1 at t=0.9.
D) Ball 2, because the height of ball 1 is less than the height of ball 2 at t=0.9.
2. The function P(t) represents the yearly profit, in thousands of dollars, for a virtual store since opening. The graph of P(t) is shown.
What is the time at which the store reached the maximum yearly profit?
A) Approximately 4.5 years after the store opened
B) Approximately 14 years after the store opened
C) Approximately 2.5 years after the store opened
D) Approximately 7.5 years after the store opened
3. 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) 5.91
B) 5
C) 32.5
D) 45
4. The population of bison in a preserve can be modeled using the logistic function f(x), where x represents the number of years since the preserve was established and f(x) represents the population. The graph of f(x) is shown.
How does the bison population change as time progresses from year 7 to year 10?
A) The bison population increases slower and slower.
B) The bison population decreases faster and faster.
C) The bison population increases faster and faster.
D) The bison population decreases slower and slower.
5. 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(330)=82
B) A(330)=1,320
C) A(1,320)=330
D) A(82)=330
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: A | Question # 3 Answer: B | Question # 4 Answer: A | Question # 5 Answer: B |
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