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## JEOPARDY

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**Vocabulary**Tables Proportions Graphs Y=kx Wild Card 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500**Q: 100**What is an equation that states two ratios are equivalent?**Q: 200**What is the point in the center of a coordinate plane?**A: 200**Origin**Q: 300**What are the numbers of an ordered pair that locate a point on a coordinate graph?**A: 300**Coordinates**Q: 400**What is a value that does not change?**Constant**A:400**Q:500**What is the symbol used to represent a quantity that can change?**A:500**Variable**Q:100**Does the following table represent a direct variation/proportion?**A:100**Yes! As the x-values increase, the y-values increase! Hint: You may have to re-order the numbers… but if you move an x, you must move the y as well!**Q:200**Complete the following table for .**Q: 300**Kaden can walk 1 mile in 10 minutes. Create a table of values which represent time and distance. X- Distance Y- Time *Give 4 Coordinates!**A: 300**Answers may vary depending on groups!**Q: 400**What three things must be true for a table to represent a direct variation?**A: 400**• As x increases, y must increase. • As x decreases, y must decrease. • The constant (k) must be the same!**Q: 500**Determine the direct variation/proportion equation for the table shown here.**A: 500**Y = 3.5x**Q: 100**Set- up a proportion & solve the following problem: Johnny scores 27 points on three basketball games. The season has 10 games. How many points can Johnny expect to score by the end of the season?**Q: 200**Set- up a proportion and Solve: If y varies directly with x, and y=34 when x=17. Find x when y=68.**Q: 300**Li mixes 3 units of red paint with 8 units of white paint to get pink. How many units of red paint should she mix with12 units of white paint to get the same pink shade?**A: 300**4 ½ units**Q: 400**Shane’s neighbor pledged $1.25 for every .5 miles Shane swims in the charity swim-a-thon. If Shane swims 3 miles, how much money will his neighbor donate?**A: 400**$7.50**Q: 500**A lighthouse casts a shadow 36m long when a meter stick casts a shadow 3m long. How tall is the lighthouse?**A: 500**12m tall**Q:100**If you have a positive constant, your graphed line will be in which two quadrants?**A:100**Quadrants I and III**Q: 200**If you have a negative constant, your graphed line will be in which two quadrants?**A: 200**Quadrants II and IV**Q: 300**Determine whether the points given create a direct variation. (1, 3) (2, 6) (3,12) and (4,3)**A: 300**No, when you graph the points they do not go through the origin. They also do not have a constant.**Q: 400**Determine whether the points given create a direct variation. (2, 9) (3, 13.5) (4, 18) and (5, 22.5)**A: 400**Yes, when graphed they go through the origin and have a constant of 4.5.**Q: 500**Find an equation and graph the variation where y varies directly as x, when y=630 and x=175.**A: 500**y= 3.6x Graph will be on whiteboard!**Q:100**X and y vary directly. When x=15 and y=60. Find the direct variation/proportion equation.**A: 100**y= 4x**Q: 200**X and y vary directly. When x= 20 and y= 100, find x when y= 500.**A: 200**x=100**Q: 300**Why do we say “find an equation which relates x and y”?**A: 300**X and y are related by the constant, therefore when we find the direct variation equation/proportion we are finding the link between them.**Q: 400**Which of the following is a direct variation equation? • 17/y=x • x+2=19 • x/2=y • 19-y=x**A: 400**C