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Jeopardy

Jeopardy. Linear. Exponential. Quadratics. Geometry. Polynomials. $100. $100. $100. $100. $100. $200. $200. $200. $200. $200. $300. $300. $300. $300. $300. $400. $400. $400. $400. $400. $500. $500. $500. $500. $500. Final Jeopardy.

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Jeopardy

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  1. Jeopardy Linear Exponential Quadratics Geometry Polynomials $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 Final Jeopardy

  2. A plumber charges a fixed rate of $40 per job plus $10 for each hour, h, that he works at the job. Which equation models the total amount the plumber charges, y,if he works h hours? y = 10h + 40 Linear - $100

  3. Linear - $200 • Sarah purchased 2 tickets to a movie and a bucket of popcorn. The bucket of popcorn cost $7.00. Sarah paid a total of $22.00. How much did each movie ticket cost? • $7.50

  4. Linear - $300 • The length of a vine is predicted to increase by 3 feet each week. The vine is currently 12 feet. In how many weeks will the vine reach a predicted length of 33 feet? • 7

  5. Linear - $400 • A company has a budget of $1,700 for a banquet. A banquet hall charges $150 to rent a room, plus $30 per guest. What is the maximum number of guests that can attend the banquet for the costs to remain under the budget? • 51 people

  6. Linear - $500 • John is saving to buy a television that costs $1,250. John currently has $200 saved. He plans to save an additional $50 each week. How many weeks will it take John to have $1,250 saved? • 21 weeks

  7. Exponential - $100 • Sam deposited $200 into a savings account that pays 4% interest compounded monthly. Approximately how long will it take for the deposit to be worth $220? • 29 months

  8. Exponential - $200 • Jeremiah drank three 8-oz cups of coffee. Each cup of coffee contained 130 mg of caffeine. Jeremiah’s body eliminates 13% of the caffeine each hour. Which equation represents the amount of caffeine, C, in his body after t hours? • C = 390(0.87)t

  9. Exponential - $300 • The value of a computer has decreased by 23% each year since it was purchased. The computer was valued at $1,500 when it was purchased. Which equation models the value of the computer, V, t years after it was purchased? • V = 1,500(0.77)t

  10. Exponential - $400 • The population of a small town was 35,000 in 1990 and has been growing by 4.5% each year since then. Write a function to model the population P of the town t years after 1990. • P = 35000(1.045)t

  11. Exponential - $500 • A sample of bacteria can be modeled by the equation , where y is the number of bacteria and x is measured in hours since the study began. Write a sentence to explain the meaning of the values in this equation. • When the study began there were 500 bacteria and that amount decreases by 8% each hour.

  12. Quadratic - $100 • What is the value of the positive zero of the function defined by x2 + x – 30? • 5

  13. Quadratic - $200 • What is the value of the larger zero of the function defined by x2 + 12x + 27? • –3

  14. Quadratic - $300 • A ball is thrown into the air with a speed of 32 feet per second. The function h = 32t – 16t2 models the height of the ball after t seconds. How many seconds does it take for the ball to reach its maximum height? • 1 second

  15. Quadratic - $400 • The amount of profit a company makes from selling video games for x dollars is modeled by the function P(x) = –x2 + 100x + 350,000. To the nearest dollar, what price gives the maximum profit? • $50.00

  16. Quadratic - $500 • Jason kicked a ball into the air. The function h(t) = 80t – 16t2 models the height of the ball, in feet, t seconds after it was kicked. How long does it take the ball to hit the ground? • 5 seconds

  17. Geometry - $100 • A can has a base with an area of 5 in.2 and a height of 6 in. What is the total volume of six of these cans? • 180 in.3

  18. Geometry - $200 • Angle EFH and angle GFH are congruent. The measure of ∠EFH = 3x + 14 and the measure of ∠GFH = 9x – 10. What is the measure of ∠EFH? • 26 degrees

  19. Geometry - $300 • The volume of a cylinder is 352 cm3. The height measures 7 cm. What is the approximate diameter of the cylinder? • 8 cm

  20. Geometry - $400 • The volume, V, of a sphere can be found using the equation given the radius, r, of the sphere. What is the approximate radius of a sphere with a volume of 113 cubic centimeters? • 3 centimeters

  21. Geometry - $500 • The lengths of the sides of triangle PQR are consecutive even integers. The perimeter of triangle PQR is 42 cm. What is the length of the longest side? • 16 cm

  22. Polynomials - $100 • What expression is equivalent to • (x – 2)(x – 6)? • x 2 − 8x + 12

  23. Polynomials - $200 • What expression is equivalent to • (2x 2 + 6x – 1) – (3x 2 – x + 3)? • –x 2 + 7x – 4

  24. Polynomials - $300 • The length of a rectangle is represented by the expression (x + 5). The width is represented by the expression (x + 3). What expression represents the perimeter of this rectangle? • 4x + 16

  25. Polynomials - $400 • The function f (x) = 9.75x +62 models the amount of money that Hector earned working x hours in a week. The function g (x) = 7.5x + 84 models the amount of money that Carl earned working x hours in the same week. Write a function, h (x), to model the difference in Hector’s and Carl’s earnings. • h (x)= 2.25x – 22

  26. Polynomials - $500 • A square has a side length of 3x + 5. What expression is equivalent to the area of the square minus the perimeter of the square? • 9x 2 + 18x + 5

  27. Final JeopardyCategory: Statistics • The list below indicates the EPA highway miles per gallon for 22 different 2006 Honda vehicle models. • 21, 22, 24, 24, 24, 25, 25, 26, 26, 26, 27, • 28, 29, 29, 30, 34, 34, 38, 40, 51, 56, 66 • Calculate the interquartile range for this data. • 9

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