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Linear Functions Trivia

Linear Functions Trivia. April 23, 2013. Round #1. Relations and Functions. Which of the following relations is a function?. Which of the following best describes the ordered pairs listed below?. Neither a relation nor a function Both a relation and a function Relation only Function only.

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Linear Functions Trivia

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  1. Linear Functions Trivia April 23, 2013

  2. Round #1 Relations and Functions

  3. Which of the following relations is a function?

  4. Which of the following best describes the ordered pairs listed below? • Neither a relation nor a function • Both a relation and a function • Relation only • Function only

  5. Explain if the graph below represents a function.

  6. Create a table that only represents a relation.

  7. Round #1 Solutions • Relation C is also a Function • B. Both a relation and a function • The graph represents a function because no -values are repeated (passes vertical line test). • Any table that has at least one -value repeated.

  8. Round #2 Rates of Change

  9. Which graph has an increasing slope for only values ? A B C D

  10. The LeBlanc’s decide to take a trip to Florida in their family car. After a while driving it is 10 A.M. and they had driven a total of 210 miles. At 2 P.M., they had driven 490 miles. What was the LeBlanc’s average rate during their trip?

  11. The cost of a monthly cell phone bill is determined by the function , where x represents the minutes spent on the phone. What does the slope represent? • The length of the call • Cost of having a cell phone • Cost per minute • The length of the month

  12. A grocery store was determining the amount of bottles of lemonade sold as the temperature increased. When the temperature was 56 degrees, 250 bottles were sold. When the temperature was 80 degrees, 346 bottles were sold. What is the rate of change and what does it represent in this situation?

  13. Round #2 Solutions • Graph A • 70 miles per hour • C. Cost per minute • 4; number of extra bottle sold per degree the temperature rises

  14. Round #3 Slope and -intercept

  15. Compare rates of change and y-intercepts of the functions below. The rates of change are the same, but the -intercepts are different. The functions have different -intercepts and different rates of change. The functions have the same -intercepts and the same rates of change. The -intercepts are the same, but the rates of change are different.

  16. Compare rates of change and -intercepts of the functions below. • Both are the same. • Slopes are the same • -intercepts are the same • Neither are the same.

  17. iTunes charges $15 for a memberships and $2 per song downloaded. Which table matches the above situation? B A C D

  18. Dave has a 240-gallon hot tub. He estimates he can drain the hot tub at an average of 12 gallons per minute. If x represents the number of minutes the hot tub has been draining, what does the y-intercept represent in terms of this situation? • The amount of water in the hot tub after it was drained. • The amount of water in the hot tub before it was drained. • The rate at which the tank is drained. • The number of minutes it will take to drain.

  19. Round #3 Solutions • B. The functions have different -intercepts and different rates of change. • A. Both are the same. • Table B • B. The amount of water in the hot tub before it was drained.

  20. Round #4 Completing Tables and Writing Equations

  21. Which equation could represent the relationship in the table below? Find the missing -value.

  22. Bekah recently started reading. Yesterday she read 22 minutes. She decided to add 4 minutes to her reading each day. Which of the following equations represents how long her reading will be after additional weeks?

  23. Complete the following table and write a function rule.

  24. Use the information in the graph to determine the equation for the function.

  25. Round #4 Solutions • A. ; 13 • B. • ; 17

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