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?
Q:500 What is the symbol used to represent a quantity that can change?
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