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| Section | Objectives |
|---|---|
| Topic 1: Foundations of Algebra | - Algebraic Expressions
|
| Topic 2: Exponential and Logarithmic Concepts | - Exponential Functions
|
| Topic 3: Functions and Graphs | - Function Concepts
|
| Topic 4: Linear Functions and Systems | - Systems of Equations
|
| Topic 5: Polynomial and Rational Expressions | - Rational Expressions
|
1. The number of people, P, in a festival audience is represented by the graph, with the number of hours since the beginning of the festival along the horizontal axis and the size of the audience along the vertical axis.
Point Arepresents an audience size of 402 for the first hour of the festival, or P(0)=402.
Which ordered pair represents a point on the graph?
A) (8#409)
B) (4#404)
C) (2#401)
D) (10#407)
2. The number of property sales in a region this year is expected to be 6 less than the number of property sales in the region last year. The function H(x)represents the number of property sales this year, where xrepresents 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 330?
A) H(330)=324
B) H(330)=336
C) H(324)=330
D) H(336)=330
3. The weight of a radioactive sample is given by the function
W(x)=740× # 0.87 # ^x
where xis the time, in years, and Wis the weight of the sample, in ounces.
What is the weight of the sample when x=3?
A) 487.29oz.
B) 560.11oz.
C) 368.83oz.
D) 423.94oz.
4. The function F(n) represents the relationship between the number of animals in two enclosures, where n is the number of animals in enclosure A and F is the number of animals in enclosure B. The number of animals in enclosure B is 20 more than the number of animals in enclosure A.
Which function represents this situation?
A) F(n)=n#20
B) F(n)=n/20
C) F(n)=n+20
D) F(n)=20n
5. The graphed function n(t)represents the number of animals, n, at a feeding station thours after 5:00 a.m. The plotted points Aand Bhave coordinates (1#10.6)and (8#6.59).
Which statement gives the correct interpretation of the average rate of change of the number of animals over the interval from point Ato point B?
A) The number of animals at the station increases at an average rate of 0.573 per hour.
B) The number of animals at the station decreases at an average rate of 4.01 per hour.
C) The number of animals at the station increases at an average rate of 4.01 per hour.
D) The number of animals at the station decreases at an average rate of 0.573 per hour.
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: A | Question # 3 Answer: A | Question # 4 Answer: C | Question # 5 Answer: D |
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