Algebra 2 – Post-test Assessment 4

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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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? Select all that apply.

A. 15 minutes

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B. 25 minutes

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C. 35 minutes

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D. 45 minutes

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E. 55 minutes

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F. 65 minutes

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3. Question

Use the information provided to answer Part A and Part B for question 2.

Part A

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4. Question

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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 data P(t), the population of the town t years after 1985, best fit the data.

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B.

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D.

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6. Question

Part B

Consider the value predicted by the model for the year 2010. Which statement is true?

A. The model over predicts the actual population of the town by fewer than 1,000 people.

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B. The model over predicts the actual population of the town by more than 1,000 people.

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C. The model under predicts the actual population of the town by fewer than 1,000 people.

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D. The model under predicts the actual population of the town by more than 1,000 people.

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7. Question

Use the information provided to answer Part A and Part B to question 4.

Part A

What is the y-intercept of the graph of the function in the xy-coordinate plane?

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8. Question

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F.

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9. Question

Part C

What is the end behavior of the graph of the function?

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10. Question

Part D

How many relative maximums does the function have?

A. none

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B. one

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C. two

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D. three

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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?

A. Randomly select one day of the week and then select the first 30 students who enter the cafeteria on that day.

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B. Post the survey on the school Web site and use the first 30 surveys that are submitted.

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C. Randomly select 30 students from a list of all the students in the school.

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D. Randomly select one classroom in the school and then select the first 30 students who enter that classroom.

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12. Question

Part B

The manager wants to know if a student’s gender is related to the student’s opinion about the menu. Which statement best describes the study?

A. This is an observational study and therefore the manager will be able to establish a cause-and-effect relationship between gender and opinion.

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B. This is an observational study and therefore the manager will not be able to establish a cause-and-effect relationship between gender and opinion.

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C. This is an experimental study and therefore the manager will be able to establish a cause-and-effect relationship between gender and opinion.

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D. This is an experimental study and therefore the manager will not be able to establish a cause-and-effect relationship between gender and opinion.

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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 carbon-14 can be used. Carbon-14 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 carbon-14 in an artifact can be modeled by an exponential function, m, of its age x.

Part A

Let A represent the original mass of carbon-14. Which function is an appropriate model?

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B.

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14. Question

Part B

Based on the situation, which interval represents the domain of the function m?

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15. Question

Part C

Which statements describe the graph of m in the coordinate plane? Select all that apply.

A. The function m is a linear function.

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B. The function m is a nonlinear function.

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C. The function m is an increasing function.

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D. The function m is a decreasing function.

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E. The function m is a periodic function.

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16. Question

Part D

At what age would the mass of carbon-14 in an artifact be one-fourth the original amount?

A. 1,432.5 years old

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B. 2,865 years old

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C. 11,460 years old

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D. 22,920 years old

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