Proportional or Non-Proportional?
Proportional or Non-Proportional?
y = k x
Proportional
TRUE or FALSE: Proportional relationships MUST start at (0,0)
True
How do you find the y-intercept?
When x = 0, the y-value is the y-intercept.
Where the line crosses the y-axis.
What is the rate of change (m)?
y=2x+6
m = 2
TRUE or FALSE: "Corresponding" means same placement
TRUE
Proportional or Non-Proportional?
y = m x + b
Non-Proportional
How do you find the constant of proportionality (k) from a table?
k = y/x
How do you know if a graph has a positive or negative rate of change (m)?
Upward line = positive
Downward line = negative
What is m and what is b in the equation y = m x + b?
m = rate of change
b = y-interecpt
Mr. Moore used similar triangles for a design. Which statement must be true?
a) They are the same shape and the same size.
b) They are the same shape but not the same size.
c) They are neither the same shape nor the same size.
B
What is the difference between Proportional and Non-Proportional?
Non-Proportional: does not go through origin, rate of change instead of constant, has a y-intercept
What is the constant of proportionality (k)?
x y
3 12
5 20
7 28
k = 4
Describe what the graph of the line would look like:
y = 2x
The line would start at (0,0) and go through (1,2).
The line would have a rate of change of 2 (2/1).
Write the equation for the following:
An electricity company charges $0.12 per Kilowatt-hour.
y = 0.12x
Which statement is FALSE?
a) Corresponding angles are congruent
b) Congruent means equal
c) Opposite sides are corresponding
d) Corresponding side lengths are proportional
C
Proportional or Non-Proportional?
Natasha has a job at the post office putting letters in envelopes. Natasha can put 42 letters in envelopes each hour.
Proportional
Write the equation from the table:
x y
-6 -1
0 -3
3 -4
9 -6
y = -1/3 x - 3
Draw the coordinate plane and plot the three points on the line for the following:
A recipe of trail mix requires 1.5 cups of nuts for every cup of dried fruit.
The line would start at (0,0) and go through (1, 1.5) and (2,3).
Write the equation for the following rate:
A family makes candied pickles for sale. A family packs 80 pickles per 5 jars.
y = 16x
Triangle ABC is similar to DEF. Identify two sets of corresponding sides.
AB corresponds to DE.
BC corresponds to EF.
CA corresponds to FD.
Proportional or Non-Proportional?
Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a $22.50 delivery fee.
Non-Proportional
Write the equation from the table:
x y
-1 -11
1 1
3 13
5 25
y = 6 x - 5
If my line contains points (0,3) and (4,6) what is the rate of change?
3/4
Write the equation for the following:
Caleb practices playing the cello each day. He starts with a warm-up of 2 songs and then plays 6 songs each hour.
y = 6x + 2
Triangles KLM are similar to RTU.
KL is 10m and LM is 12m.
Find the length of RT if TU is 3 m.
10/x = 12/3
RT = 2.5m