This may not come from a textbook, but it's clearly an assignment. At a guess, you're an education major, planning to educate others' children.
3.1 Manipulated and Independent Variables
what is the logic behind ‘y’ over ‘x’
What is meant by "'y' over 'x'"? We can't see the rest of this assignment, so we don't know what is being discussed. If this relates to "slope" (from the subject line, and not included in the actual posting), then I
think this may be related to the slope formula. If so, try looking up
the formula of, and definition for, slope.
why in a table it’s the exact opposite.
What table? Which is "the exact opposite" of which other?
when writing the rate of change for it(in fraction) what goes on top
The rate of change for
what? On top of
which? Where?
Example: 1mi/2in
why is x first in the equation
Why is x first in
what equation?
why is X simplest(why 1, not 2mi/4in)
I have no idea what this means.
On tables
| Hawk diving to prey- time(s) | 3 | 6 | x |
| Altitude(ft) | 60 | 40 | y |
x is a factor of 3, would that mean anything (other than reinforcing the fact that I can simply the fraction to prove it is linear)
On what basis have you determined that x is a factor of anything (or even a multiple of anything)? What is the meaning of the parenthetical?
if so, would that mean x = 9
You have said that x is a factor of 3, which is a prime number. Since 9 is not a factor of 3, then x cannot equal 9 (nor 6, for that matter). None of this makes any sense. Also, since x is (likely) the independent variable, x could be anything (not just 1 or 3, as you state above).
Logic-how did we go from drawing a graph(to see if linear)-to-->> all these shortcuts
Who is "we"? What graph? What are you talking about with "all these shortcuts"?
X and adding 3; yes, I know its how we find constant rate of change
I have no idea what this means.
when putting in fraction and simplifying to see if it is linear(how come to that conclusion)
What?
how is that different from the fraction for rate of change
How is
what different from
which fraction for
what rate of change?
if it goes through zero, how is it proportionate
If
what goes through zero? Where? How? How is
which proportionate to
which else?
--not in 3.1
Rate of Change(fraction form)
yx[/FONT][/COLOR] and y-x--points can exist in only QI and QIII
-yxand -y-x--the points can exist in only QII and QIV
I have no idea what this means.
But how did the minus happen; is that even possible in real life
How did
what "minus" happen? Where? Is
which possible "in real life"? What is meant by "real life"?
Why are some graphs curved
Because they graph non-linear functions.
Slope
why is there an ‘m (y=mx)
Why is there an "'m"
where? What is the meaning of the parenthetical? Is is multiplied somehow against the new variable prime-m? What was the source of any of this? (Without the source, there seems little way of determining the derivativation of the result.)
Look this up.
Why does
who need
what?
what is the logic behind it
What is
which logic behind
what?
m = (y2 - y1) / (x2 - x1)- how did we come to use that equation
How did
who come to use the slope formula?
logic behind rise and run
Look at your history: People (carpenters, roofers, road-builders, etc) needed to be able to communicate about an important and measurable value. Since most of the computations related to situations where a downward change needed to occur over a certain "run" or distance (like the pitch of a roof, the grade of a road, the slant of a sewer or gutter pipe), the information was conveyed in terms of "how for down over how long a distance". The mathematical "slope" evolved from this.
