Modeling with Periodic Functions — Cumulative exam Answers

Use the diagram, which is not drawn to scale, to decide which proportions are true. I. II. III. IV.

The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. If a person weighs 180 pounds on the surface of the earth and the radius of the earth is 3900 miles, what will the person weigh if he or she is 850 miles above the earth's surface? Round your answer to the nearest hundredth of a pound.

In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation. How many ways are there to distribute 8 different books among 21 children if no child gets more than one book?

The table shows a company’s profit based on the number of pounds of food produced.

This graph shows a proportional relationship between the number of tulips and the number of daffodils in gardens planned by the Lindy Landscaping Company.Lindy Landscaping GardensWhat is the constant of proportionality?

Which function represents exponential decay?

In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation. How many ways can the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members?

A cell phone company randomly selected 250 of its 4,238 users of the model M384 phone for a poll. The company found that 184 of the phone’s users responded that they are planning to upgrade to a new phone sometime in the next year, and 66 responded that they are not.

Each section of a spinner is labeled with a unique number and is the same size and shape as the other sections. The spinner is spun two times. The number of possible outcomes is 16. How many sections is the spinner divided into?

A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20. Which statement is true of the box plot of this data set?

Analyze the diagram below and complete the instructions that follow.Find the value of x and the value of y. A. B. C. D. Please select the best answer from the choices provided

Lawrence performs a survey to determine the average number of minutes of exercise seventh-grade athletes get in one week. He gets a list of sports and the seventh-grade students participating in each sport. He then chooses 10 people from each list to complete the survey. How can Lawrence’s sample be improved to be more representative of the population?

Figure RST on the graph is reflected over the y-axis creating figure R’S’T’. Figure R’S’T’ is translated down 2 units and left 1 unit creating R’’S’’T’’. Tyler knows that RST R’S’T’ because reflections produce congruent figures. He also knows that R’S’T’ R’’S’’T’’ because translations produce congruent figures. What can Tyler determine based on these two statements? Check all that apply.

A coin is thrown at random into the square below.What is the likelihood that the coin will fall into the green region of the square?

Mike and Julie are making slime. The table shows the number of drops of blue food coloring and the number of drops of red food coloring they use in each batchDrops of Food ColoringNumber of blue dropsNumber of red drops20440860128016What is the constant of proportionality of the ratio of the number of blue drops used to the number of red drops used?

Kai, a seventh grader, wants to determine the average number of times the families in his neighborhood visit the pool during the summer. He samples the families of four of his classmates. Which improvements could Kai make to his sample to increase the validity of the results? Select three choices.

What is the median in the box plot?

Simon designed the game below, which is played by throwing darts onto the board.If Simon throws one dart, which probability would be most likely?