Equations of Proportional Relationships
Identifying Proportional Relationships
Solve
100
What letter represents the constant of proportionality in an algebraic equation?
k
100
True or False?
When you figure the unit rate (or constant of proportionality), you divide the “y” by the “x”
True .. K = y/x
100
What is the Constant of Proportionality?
The number we multiply our x values by to solve for y
or
The number we get when we divide the y value by the x value
200
What is the constant of proportionality in the following equation?:
y= 3x
k=3
200
Is the table proportional?
Yes it is proportional
200
(3,4)
(6,12)
Are the two points proportional? Why or why not?
NO - 3 gets x2 to become 6, but 4 needs to be x3 to reach 12.. No constant of proportionality
300
What is the constant of proportionality in the following equation?
15 = k(3)
k= 5
300
What is the constant of proportionality in the following chart?
C.O.P. - 9 or 1/9
300
Given the table is proportional. Solve for the constant of proportionality:
K = 13
400
Tell me what is being compared in the following problem:
If Mrs. Rice needs 27 feet of yarn to knot a scarf, how many feet would she need to knit 3 scarves?
Feet of yarn to number of scarves
400
What are the possible units you can have with the
following information provided?
hrs/$ or $/hr
400
It takes Bart 10 minutes to finish writing "I will not talk in school" 30 times. How long would it take him to "I will not talk in school" 90 times?
30 minutes
500
If y=5x, solve for x
x = y/5
500
Are the following fractions equivalent:
7/3 and 63/27
Yes! The second fraction can be simplified by dividing the numerator and denominator by 9
500
A recipe for chocolate chip muffins call for 4 cups of flour to 1 cup of chocolate chips. Which of the following shows a proportional ratio for the recipe?
a.8 cups of flour to 2 cups of chocolate chips
b. 3 cups of flour to 1 cup of chocolate chips,
c. 12 cup of flour for 6 cup of chocolate chips
A) 100 extra points if you can tell the unit rate
600
Using this graph, What is the equation?
y=20x
600
(5,10) is a proportional relationship. What is the constant of proportionality?
2 (y = kx or k = y/x) .. Plug in the 10 for y and the 5 for x
600
Create an equation that shows a proportional relationship between the numbers 6 and 7
7 = k(6)
or
6 = k(7)