graphing proportional relationships
equations of proportional relationships
identifying proportional relationships
misc. proportional relationships
103
what point does a proportional relationship have to pass through?
(0,0)
103
Is this equation proportional? y= 3x
Yes
103
Are these ratios proportional? Why are why not?
5/11 and 6/12
No
103
How many sons does Mr. Satterfield have
3-Harlem, Phoenix, and Xavier
333
What is the name of a rate that is simplified where the denominator is 1.
constant of proportionality
k
unit rate
333
Is this equation proportional? Why or why not?
y= 4x + 10
Not proportional, the add 10 means it does not start at zero.
333
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
333
Solve DOUBLE JEOPARDY!!!!
n=38
527
What are 2 ways to tell if a graph is proportional
if the line is straight
goes through the origin
527
Darren bought 4 shirts for $52. Each shirt cost the same amount. Which equation models the cost, y, to purchase x shirts?
A: y = 13x
B:
y=x/14.70
C: y = 14.33x
D:
y=x/14.33
A: y = 13x
527
Is the table proportional? Why or why not?
No, because the constant of proportionality is not constant. 24/1 is 24, but 45/2 is 22.5.
527
Kim walked at a constant speed. He walked 1 mile in 18 minutes. What equations represents the distance in miles (d) that Kim walks in t minutes?
DOUBLE JEOPARDY!!!
Speed = Distance/Time
1/18 = 1 mile / 18 minutes
Equation is
d = 1/18 t
709
5 gallons of water per 12 minutes
or
5/12 or 0.833 gallons of water flows per minute
709
Using this graph, What is the constant rate of change?
1/6
709
The ratio of students to parents at a basketball game is 6 to 5. Is that proportional to 170 parents and 204 students? How do you know?
Yes. 6/5 is 1.2 and 204/170 is 1.2 as well. So the constant of proportionality is the same.
709
0.96, 3.84
901
Diego is the blue line and Noah is the black line.
In the same amount of time (8 seconds) Diego traveled much further than Noah.
901
Is the table proportional? If so, why and what is the constant rate of change of cost per ticket?
Proportional
3/2
$1.50 per ticket
901
Which example does NOT show a proportional relationship?
A: The value of y is 3 times as large as the value of x.
B: John charges $25 for every 1/2 acre mowed.
C: Samantha makes $10 an hour at her job
D: Rental costs are $15 for the first hour and $10 for each additional hour.
D: Rental costs are $15 for the first hour and $10 for each additional hour.
901
What is the Mascot of Laboratory Charter School?
Cheetah