Download Objective 3-Part 1 - Ayyadhury

☺ A technique in which a
straight line is fitted to
a set of data points to
measure the effect of a
single independent
variable. The slope of
the line is the
measured impact of
that variable.
Sample
Make a scatter plot
for these set of
points. Sketch a
line which best fits
this set of data and
find its equation.
Points scored
in ten games.
Minutes Points
played scored
28
16
35
13
8
2
20
12
39
31
23
10
19
9
27
15
15
4
30
19
Answer:
Points scored
p= 0.75m-5
40
30
20
10
0
10
20 30 40
Time (min)
To guess
based on
observations
.
There are 4 blue M&M’s, 5
yellow, 3 brown, and 2 green
in a jar. If Carmen eats 1
green M&M and 2 yellow
M&M’s, what is the prediction
of the next M&M being yellow
?
Answer: 3/11
REMEMBER:
o Total number of M&M’s=14
o 4 blue
o 5 yellow
o 3 brown
o 2 green
o She ate 1 green and 2
yellow M&M’s
14 M&M’s minus 3 M&M’s equals
to 11 M&M’s left in the jar.
5 yellow M&M’s minus 2 yellow
M&M’s equal to 3 yellow M&M’s
left that can possibly be taken out.
Number of yellow M&M’s left in jar
Total Number of M&M’s left in jar
Answer:3/11
Like in math, the
prediction of 2012
is being predicted
by the information
given off from the
Mayan calendar.
Two variables x and
y show direct
variation provided
that y= ax where a
is a nonzero
constant.
Given: y varies directly as x,
and y=14 when x=3.5. Write
and graph the direct
variation function.
8
6
4
2
-8 -6
-4 -2-2
-4
-6
-8
2 4 6 8
y= kx
y varies directly as x.
14= k(3.5)
substitute 14 for y and 3.5 for x.
4=k
solve for the constant of variation k.
Y= 4x
Write the variation function by using the value of k.
 Graph the direct variation function.
 The y-intercept is 0, and the slope is 4.
 Check substitute the original values of x and y into the
equation.
Y=4x
14
4(3.5)
14
14
Y=2x+5
Continually
occurring or
recurring
Like in a graph where
a constant line goes
up or down
constantly, the man in
this picture is
constantly going up
the stairs like shown
to your left.
 The nonzero constant a in a
direct variation equation y=ax.
In a constant
Variation, like the
graph shown to your
left, as x increases y
increases and as x
decreases y
decreases.
9
6
3
-9
-6
-3
3
-3
-6
-9
6
9
Note: this can also be written
as
k=y/x
The x coordinate of a
point where a graph
intercepts the x-axis
Y-intercept…(-1,0)
X-intercept…(0,1)
The y coordinate of a
point where a graph
intercepts the y-axis
Y-intercept
X-intercept
Related by direct variation
A pizza that is
directly
proportionally
cut into four
slices is a life
example of
how a line is
directly
proportional
on a graph.
Hope you had fun with us on
Objective 3!!
Good luck on TAKS and
remember…
Practice makes Perfect.”