Is this an arithmetic sequence? If yes, what is the common difference? 4, 9, 14, 19 ...
Yes, d = 5
100
What is another name for the constant of variation?
Slope/Constant of Proportionality
100
Define the origin
(0,0)
200
Is y = -2/3x proportional or nonproportional?
proportional
200
Find the next three terms of the sequence
-2, -1.75, -1.50, -1.25, ...
-1, -0.75, -0.50
200
Suppose y varies directly as x, and y = 98 when x = 14. Write a direct variation equation that relates x and y.
y = 7x
200
Rate of change is another name for?
Slope
300
Is y = -3x -1 proportional or nonproportional?
nonproportional
300
Write the equation for the nth term in the sequence
-3, -8, -13, -18...
-5n + 2
300
Suppose y varies directly as x, and y = 72 when x = 8. Write a direct variation equation that relates x and y.
y = 9x
300
What makes a sequence arithmetic?
Adding or subtracting the same amount to get to each subsequent term
400
x: 0, 1, 2, 3, 4
y : 0, 3, 6, 9, 12
Is the relationship proportional or nonproportional?
Proportional
400
Write an equation for the nth term in arithmetic sequence
-11, -15, -19, -23,...
-4n - 7
400
Y varies directly as x. If y = 15 when x = 12, find y when
x = 32
y = 5/4x
x = 40
400
Define direct variation. (What equation should we always think about?)
y=kx.
500
What should you do to check to see if a graph represents a proportional relationship?
Check to see if the y-intercept is zero.
500
Shannon and her friends spent the day at Six Flags. In the first hour, they rode two rides. After two hours, they had ridden 4 rides. They had ridden 6 rides after three hours. Write a function to represent the arithmetic sequence.
y = 2x
500
Distance a jet travels varies directly as the number of hours is files. A jet traveled 3420 miles in 6 hours. How many hours will it take to travel 6500 miles?
11.4 hours
500
Other than "slope", what is another name for the constant of variation?