Is it proportional?
Average rate of change
Linear vs. Nonlinear
Vocab Check
Turner Trivia
100
True or False? The function rule xy = k represents a proportional relationship.
FALSE! y = kx is the functions rule for a proportional relationship.
100
Which runner has a faster average rate from 0 seconds to 2 seconds?
Neither! they have the same rate for this interval.
100
A function is linear if it has a ________ rate of change.
constant
100
What is another term for "direct variation"
proportion!
100
Where did Ms Turner go to college?
MIT and IU Indy
200
All proportional relationships must include which (x, y) point?
(0,0) or the origin.
200
Which runner has a faster rate of change from 20 seconds to 31 seconds?
Runner A was faster on this interval.
200
This nonlinear type has a constant multiplier as the numerical relationship.
exponential
200
Describe the "second difference" of a table
the difference of the difference
200
That is Ms Turner's middle initial?
J
300
How do you calculate the constant of proportionality?
y/x = k
use the ratio of outputs to inputs
use the rate formula
300
Calculate the average rate of change from x=0 to x=3
2
300
This non linear type will always have a constant value when you take the product of inputs to outputs. That is, xy=k
inverse variation
300
"steady rate" in a word problem means that a function has a __________ rate of change
(constant or nonconstant?)
constant
300
What indy high school did Ms Turner attend?
Ben Davis
400
Is this a proportional relationship? 
YES! The table starts at (0,0) and k = 0.40
400
Which 10-year period had the greatest rate of change?
2000 to 2010
400
Sally has a table of values. When she analyzes the first differences, she notices it does not have a constant value. When she analyzes the second difference, she does find a constant value. What nonlinear type did Sally find?
quadratic
400
A ________ is a relation where each element of the domain is paired with only one from the range.
function
400
What was Ms Turner's favorite subject in high school?
AP Chem
500
Is this a proportional relationship? 
No! It has a constant rate of change, but the y-intercept is (0,9).
500
4 inches per year
500
Which nonlinear type creates this curve? (the parabola) 
quadratics
500
What is the rate formula?
y2-y1
______
x2-x1
500
What grade and gender village does Ms Turner have?
11th Grade Girls