Jeopardy $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 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

Linear - $100 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 - $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

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

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

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

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

Polynomials - $100 What expression is equivalent to (x – 2)(x – 6)?

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

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

Polynomials - $400 h (x)= 2.25x – 22 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

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

Final Jeopardy Category: 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