y = X2 4 tarapn earn _ 10. y = X y =.r2 + 2x y = y 3x 2 -I- 12x y = x

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1 3. At a swim meet, Janet dives from a diving board, her position above the water is represented by the equation h(t) = 8t 2 12t + 20, where t represents time in seconds and h(t) represents height in feet. a) How high above the water is the springboard? Explain how you know. b) When does the diver hit the water? c) At what time on the diver's descent toward the water is the diver again at the same height as the springboard? d) When does the diver reach the peak of the dive? 4. The profits of Mr. Unlucky's company can be represented by the quadratic equation y = 3x x - - 4, where y is the amount of profit in hundreds of thousands of dollars and x is the number of years of operation. He realizes his company is on the downturn and wishes to sell before he ends up in debt. a) How long does it take for Unlucky's company to reach its maximum profit? b) When will Unlucky's company reach its maximum profit? c) When will Unlucky's company go bankrupt?

2 tarapn earn _ 10. y = X2 + 3 y = X y =.r2 + 2x + 1 All rights reserve d. 13. y = y 3x 2 -I- 12x Suppose you are tossing an apple up to a friend on a third-story balcony. After t seconds, the height of the apple in feet is given by h = 16/ t Your friend catches the apple just as it reaches its highest point. How long does the apple take to reach your friend, and at what height above the ground does your friend catch it? 15. y = x The barber's profit p each week depends on his charge c per'haircut. It is modeled by the equation p = 200c c Sketch the graph of the equation. What price should he charge for the largest profit? 18. A skating rink manager finds that revenue R based on an hourly fee F for skating is represented by the function R = 480F F. What hourly fee will produce maximum revenues? 19. The path of a baseball after it has been hit is modeled by the function h = d2 + d + 3, where h is the height in feet of the baseball a_ c, and d is the distance in feet the baseball is from home plate. What is the 0 maximum height reached by the baseball? How far is the baseball from home plate when it reaches it's maximum height? 20. A lighting fixture manufacturer has daily production costs of C = 0.25/12 10n + 800, where C is the total daily cost in dollars and n is the number of light fixtures produced. How many fixtures should be produced to yield a minimum cost?

3 HOMEWORK TWO WAY FREQUENCY Ak\ij 5/a 1. Identify whether the given data is categorical or quantitative. gold medal, silver medal, bronze medal 100 m, 200 m, 400 m 2. A theater company asked its members to bring in canned food for a food drive. Use the categorical data to complete the frequency table. Cans Donated to Food Drive peas corn peas soup corn corn soup soup corn peas peas corn soup peas corn peas corn peas corn soup corn peas soup corn corn Complete the two-way frequency table. Cans soup peas 3. James surveyed some of his classmates about what vegetable they like best. Complete the table. Frequency Gra 9th 10th A high school's extracurricular committee surveyed a randomly selected group of students about whether they like tennis and soccer. Complete the table. S. After a school field trip, Ben surveyed some students about which animals they liked from the zoo. Complete the table. Preferred Animal at a Zoo 11th 12th 17 15

4 12. Eli surveyed some teenagers and adults on whether they prefer apples, oranges, or bananas. His results are in the following table. Complete the table. 200 students were asked to name their favorite science class. The results are shown in the two-way frequency table. Use the table for the following questions. Favorite Science Class Biology Chemistry Physics Girl Boy How many boys were surveyed? Explain how you found your answer. 14. Complete the table. How many more girls than boys chose biology as their favorite science class? Explain how you found your answer. The results of a survey of 150 students about whether they own an electronic tablet or a laptop are shown in the two-way frequency table. Electronic tablet Device Laptop Both Neither Girl Boy,-$ Complete the table. Do the surveyed students own more laptops or more electronic tablets? 0 Houghton Miffl in Harcourt P ubl ish ing Company 16. Which group had more people answer the survey, boys or students who own an electronic tablet only? Explain. Module Lesson 1

5 22. A group of 200 high school students were asked about their use of and text messages. The results are shown in the two-way frequency table. Complete the table. Text Messages Circle the letter of each data set that is categorical. Select all that apply. A. 75 0, 790, 770, 85 B. apples, oranges, pears C. male, female D. blue, green, red E. 2 feet, 5 feet, 12 feet F. classical music, country music G. 1 centimeter, 3 centimeters, 9 centimeters 24. Explain the Error Find the mistake in completing the two-way frequency table for a survey involving 50 students. Then complete the table correctly. Favorite Foreign Language Class Russian German Italian Girl Boy Correct table: Favorite Foreign Language Class Russian German Italian Girl Houghton Miffl i n H arcou rt Publ ishi ng Com pa ny Boy 9 7 Module Lesson 1

a. Sketch the path of the diver by plotting the vertex, y-intercept, and additional points as needed.

a. Sketch the path of the diver by plotting the vertex, y-intercept, and additional points as needed. Algebra Applications of quadratic functions Name: 1. The path of a diver off a springboard is modeled by the function h( x) ( x 3) 3, where h is the height of the diver and x is the distance of the diver