graphing proportional relationships
equations of proportional relationships
identifying proportional relationships
misc. proportional relationships
100
what point does a proportional relationship have to pass through?
(0,0)
100
Is this equation proportional? y= 3x
Yes
100
Are these ratios proportional? Why are why not?
5/11 and 6/12
No
100
What is Mrs. Brusato's son's name?
Briggs
200
What is the name of a rate that is simplified where the denominator is 1.
constant of proportionality
k
unit rate
200
Is this equation proportional? Why or why not?
y= 4x + 10
Not proportional, the add 10 means it does not start at zero.
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
Solve
n=3.8
300
What are 2 ways to tell if a graph is proportional
if the line is straight
goes through the origin
300
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
300
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.
300
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?
d = 15t
400
5 gallons of water per 12 minutes
or
5/12 or 0.833 gallons of water flows per minute
400
Using this graph, What is the constant rate of change?
1/6
400
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.
400
0.96, 3.84
500
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.
500
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
500
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.
500
What is the national animal of Scotland?
A Unicorn