Definitions
What is the dependent variable?
The variable that depends on the other variable, or the y
What is the rate of change?
The rate in which the situation is changing by (+ or -)
Where is the origin?
(0,0) or where the x and y axis meet
Is this a linear equation?
y=3x2 + 2
No, its a quadratic
Is this linear?
(0,0) (5, 1) (10, 3) (15, 6)
No, because the first differences are not the same for the y values
What is a linear relation?
A relationship between two variable that form a line
How do you find rate on change on a graph?
use rise/run (Δy/Δx)
In quadrant 3, is x negative or positive?
x is negative, y is also negative
How do you tell if a table of values is linear?
If the first differences are the same (Δy)
A plane rises from the ground at 6m/second. If the plane started at a height of 4m, what is its height at 14 seconds?
y=6s + 4
At 14 seconds the plane is 88m high
What is the difference between interpolation and extrapolation?
Interpolation - finding a value within a given range
Extrapolation - extend the data to find the value
What does each of the letters in y=mx+b represent?
y - dependent variable
m - slope
x - independent variable
b - initial value/y-intercept
What quadrant is the point (9, -4) in?
Quadrant 4
Is this equation linear?
y=1/x
No, it is a quadratic
A taxi driver has a cover charge of $20, for every km traveled it is $4 extra dollars. Create an equation to represent this situation.
y=20+4x
x can be any variable
What is the difference between continuous and discrete data?
Continuous - all points are connected on a graph
Discrete - points are not connected
Determine the equation of these coordinates
(0,0) (1,12) (2,24) (3,36)
y=12x
Give an example of a point in quadrant 2
(-x,+y)
Is this a linear equation?
y=7n
Yes, there are no exponents and the n variable can replace an x
Using the following equation find these corresponding y values
y=x+7
(-2,y) (2,y) (6,y)
(-2,5) (2,9) (6,13)
What is the difference between direct and partial variation?
Direct variation - when the initial value is 0 (starts at the origin)
Partial Variation - when the initial value is not 0 (does not begin at origin)
Using this table of values determine the y value if x=200
(1,9) (2,11) (3,13) (4,15)
y=750
In what quadrants are x and y both positive, and both negative? (2 quadrants)
In quadrant 1, x and y are both positive, in quadrant 3, x and y are both negative
Is y=4 a linear equation?
Yes, it is shown as a straight ongoing horizontal line with the y-int being (0,4)
Figure out these sets of coordinates using this equation: y=3x+2
(2,y) (5,y) (-3,y)
Is this linear?
(2,8) (5,17) (-3,-7)
Yes it is linear