Jeopardy

1. Jeopardy

2. 100 For exercise, you swim several times a week. Currently, you swim 5 laps each time you swim. You want to gradually increase the number of laps each time you swim. Your plan is to swim 2 additional laps each time you swim. Write an equation that gives the total number of laps you swim as a function of the number of times you have been swimming since you started adding laps. Find the total number of laps you will swim in 8 weeks if you swim 3 times a week.

3. 200 A printing shop charges $50 to set up its equipment to print flyers. If the order is less than 1000 flyers, the shop charges $.45 to print each flyer. If the order is 1000 flyers or more, the shop charges $.30 to print each flyer. Write an equation that gives the total cost (in dollars) for printing less than 1000 flyers as a function of the number of flyers printed. What is the domain of the function from part? Explain. Use the equation to determine how many flyers you can have printed for $400.

4. 300 A printing shop charges $50 to set up its equipment to print flyers. If the order is less than 1000 flyers, the shop charges $.45 to print each flyer. If the order is 1000 flyers or more, the shop charges $.30 to print each flyer. Write an equation that gives the total cost (in dollars) for printing 1000 flyers or more as a function of the number of flyers printed. What is the domain of the function from part? Explain. Use the equation to determine how many flyers you can have printed for $400.

5. 400 You are scheduled to start your job at a car wash 2 hours after the car wash opens. Three hours after you start, a total of 47 cars have been washed since the car wash opened. Three hours later, a total of 55 cars have been washed. At what rate are the cars being washed? How many cars were washed before you started work?

6. 500 A newspaper charges a flat rate to place a 3-line ad in the classified section of the newspaper and then charges a per line fee for any additional lines. One person paced a 4-line ad for $17.10 and another person placed a 6-line ad for $22.50. Write an equation that gives the total cost (in dollars) as a function of the number of lines in the ad. What to the rate of change and the initial value in your equation represent?

7. 100 Graph the equation. y + 3 = 4(x – 5)

8. 200 Graph the equation. y – 4 = -3/2(x + 5)

9. 300 From 1990 to 2000, the number of thousand visits by people to Hawaii Volcanoes National Park increased by about 43.1 thousand visits per year. In 2000, there were about 1529.6 thousand visits to the park.Write an equation that gives the number of thousand visits as a function of the number of years since 1990.

10. 400 Find the value of k so that the line passing through the given points has the given slope. Write an equation of the line in point-slope form. (k, k + 1), (k – 3, 3k + 4), m = 2

11. 500 Find the value of k so that the line passing through the given points has the given slope. Write an equation of the line in point-slope form. (k + 2, k – 1), (–3, k + 1), m = 1

12. 100 Write equations of the horizontal and the vertical lines that pass through the given point. (–9, –3)

13. 200 You have $5 to spend on guitar picks. You want to buy some nylon picks for $.35 each and celluloid picks for $.25 each. Write an equation in standard form that models the possible combinations of nylon and celluloid picks you can buy.

14. 300 Your cell phone plan charges you $.02 to send a text message and $.07 to receive a text message. You plan to spend no more than $5 a month on text messaging. Write an equation in standard form that models the possible combinations of sent text messages and received text messages.

15. 400 Write an equation in standard form of the line that passes through the two points. (p, q), (2, 3), p ≠ 2

16. 500 Write an equation in standard form of the line that passes through the two points. (2p, 3q), (3p, 2q), p ≠ 0

17. 100 Write an equation of the line that passes through the given point and is parallel to the given line. (–1, 4), 8x + 2y = 11

18. 200 Write an equation of the line that passes through the given point and is perpendicular to the given line. (17, –3), 9x – 6y = 4

19. 300 Write an equation of the line that passes through the given point and is parallel to the given line. (0, – 13), 4x – 4y = 12

20. 400 Write an equation of the line that passes through the given point and is perpendicular to the given line. (–7, 7), 4x + 3y = 8

21. 500 You are planning the scale model of a town that you will build. For now, you are laying everything out on a coordinate plane as shown. You want to draw Wooster Street so that it is perpendicular to Main Street. You know that Wooster Street will pass through the point (–3, 8.75). Find the equation of the line for Wooster Street so that it is perpendicular to Main Street.

22. 100 Make a scatter plot of the data. Draw a line of fit. Write an equation for the line. x –2 –1 –1 0 1 2   y 2 1 0 –1 –2 –3

23. 200 Make a scatter plot of the data. Draw a line of fit. Write an equation for the line. x –1 0 1 2 3 4 y–5 –3 –2 –2 0 1

24. 300 Find the zero of the function. f(x) = –3(x + 4)

25. 400 Find the zero of the function. f(x) = 6(3x + 5) –4

26. 500 The table shows the percent of U.S. households with computers from 1995 to 2000. Year 1995 1996 1997 1998 1999 2000 Percent with 31.7 35.5 39.2 42.6 48.2 53.0 Computers • Make a scatter plot of the data where x represents the number of years since 1995 and y represents the percent of households with computers. • Find an equation that models the percent of households as a function of the number of years since 1995. • Predict how many households will have computers in 2009.