Algebra 2 – Posttest Assessment 4
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Question 1 of 16
1. Question
Use the information provided to answer Part A and Part B for question 1.
The London Eye, a Ferris wheel in England, has a diameter of 120 meters. The wheel completes a full rotation in 30 minutes to allow passengers to enter a capsule at the base of the Ferris wheel without stopping the wheel. At the highest point, a capsule reaches a height of 135 meters above the ground.
Part A
Given the situation, what is the value of A?
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Question 2 of 16
2. Question
Part B
Consider a capsule that begins its rotation at the base of the London Eye. For the times listed, how many minutes after the rotation begins will the capsule be 45 meters above the ground?Â Select all that apply.
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Question 3 of 16
3. Question
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Question 4 of 16
4. Question
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Question 5 of 16
5. Question
Use the information provided to answer Part A and Part B for question 3.
To investigate housing needs in the future, a town planning committee created a model to help predict the growth of the population of the town. The committee created a model based on data about the population of the town for five years. The data are shown in the table.
Part A
Which model for the dataÂ P(t),Â the population of the town tÂ years after 1985, best fit the data.
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Question 6 of 16
6. Question
Part B
Consider the value predicted by the model for the year 2010. Which statement is true?
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Question 7 of 16
7. Question
Use the information provided to answer Part A and Part B to question 4.
Part A
What is the yintercept of the graph of the function in the xycoordinate plane?
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Question 8 of 16
8. Question
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Question 9 of 16
9. Question
Part C
What is the end behavior of the graph of the function?
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Question 10 of 16
10. Question
Part D
How many relative maximums does the function have?
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Question 11 of 16
11. Question
Use the information provided to answer Part A and Part B for question 5.
The manager of food services at a local high school is interested in assessing student opinion about a new lunch menu in the school cafeteria. The manager is planning to conduct a sample survey of the student population.
Part A
Which of the listed methods of sample selection would be the most effective at reducing bias?
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Question 12 of 16
12. Question
Part B
The manager wants to know if a studentâ€™s gender is related to the studentâ€™s opinion about the menu. Which statement best describes the study?
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Question 13 of 16
13. Question
Use the information provided to answer Part A and Part D for question 6.
When approximating the age of an artifact that is less than 40,000 years old, the radioisotope carbon14 can be used. Carbon14 is an element with the property that every 5,730 years the mass of the element in a sample is reduced by half.
The mass of the carbon14 in an artifact can be modeled by an exponential function, m, of its age x.
Part A
Let A represent the original mass of carbon14. Which function is an appropriate model?
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Question 14 of 16
14. Question
Part B
Based on the situation, which interval represents the domain of the function m?
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Question 15 of 16
15. Question
Part C
Which statements describe the graph of m in the coordinate plane? Select all that apply.
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Question 16 of 16
16. Question
Part D
At what age would the mass of carbon14 in an artifact be onefourth the original amount?
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