graphing proportional relationships
equations of proportional relationships
identifying proportional relationships
Miscellaneous
scale factor
100
What coordinate point is the origin?
*write in (x, y) terms*
(0, 0)
100
Is this equation proportional? y = 3x
If so what is the constant of proportionality (unit/growth rate)?
Yes, the constant of proporionality (unit/growth rate) is 3
100
Which table does not show a proportional relationship?
A, because it does not have equivalent ratios - y/x
100
Are the ratios equivalent?
3/4 and 6/12
NO, because 3 x 2 = 6, but 4 x 2 does NOT equal 12
100
What is the scale factor? (copy/original)
12/4 which equals 3
200
Is this relationship proportional? Why or why not?
No, because it does not pass through the origin.
200
Is this equation proportional?
If so, what is the constant of proportionality?
y = 4x + 10
No, it is not proportional because there is another number added.
200
Does this graph show a proportional relationship? Why or why not?
No, because it does not pass through the origin
200
Simplify this fraction:
10/35
2/7
200
What is x equal to?
x = 20
300
What are the 3 ways to tell if a graph is proportional?
1. It is linear (a straight line)
2. It passes through the origin (0, 0)
3. It has equivalent ratios - y/x
300
Is this equation proportional? If so, what is the constant of proportionality (unit/growth rate)?
y = ¾x
Yes, it is proportional
The constant of proportionality (unit/growth rate) is 3/4
300
Is the table proportional?
No, because the ratios (y/x) are not equivalent
300
3 + 2(32/3 + 6)
21
300
TRUE or FALSE - the scale factor is 1/2
TRUE
5/10 = 1/2
3/6 = 1/2
400
Is this graph proportional?
*If it is, what is it's constant of proportionality (unit/growth rate)?
Yes, because it is a straight line that passes through the origin
The constant of proportionality is 5
*5 gallons of water per minute*
400
Write an equation that represents the proportional relationship between the number of trees (t) and the number of apples (a).
*hint - find the constant of proportionality (unit/growth rate) first
13t = a
400
Is the table proportional?
Yes, because the ratios (y/x) are equivalent
400
-24 - 8 + 14
-18
400
An actual flagpole and a model of the flag pole have a scale factor of 1 inch = 4 feet. If the model pole measures 12 inches, how tall is the pole in feet?
1/4 = 12/x
x = 48 feet
500
What is the constant of proportionality (unit/growth rate) of this graph?
y/x - 6/5 which equals...
1.2 miles per hour
500
Write an equation for the table given that the table is proportional.
*hint - find the constant of proportionality (unit/growth rate) first
y = 3/2x
or
y = 1.5x
500
Is this graph proportional? If it is, what is the constant of proportionality (unit/growth rate)?
Yes, it is because it has a straight line that passes through the origin.
1/6 - your weight on the moon would be 1/6 of your weight on earth!
500
3/30
500
What is x equal to?
x = 7