Proportional Relationships
equations of proportional relationships
identifying proportional relationships
Solve
Word Problems
100
what numbers are the origin?
(0,0)
100
Is this equation proportional? y= 3x
If so what is the constant of proportionality? (K)
Yes
k=3
100
Are these ratios proportional? 
Yes
100
How do you write an Equation?
Y = KX
100
Ronny earns $27.50 for each driveway he shovels. How much money can Ronny earn after shoveling 4 driveways?
$110
200
Describe a Proportional Relationship.
Has the origin point and increases at a constant rate.
200
Is this equation proportional? If so what is the constant of proportionality? (K=)
y= 4x + 10
Not proportional
200
Is the graph a proportional relationship? Why?
NO
Does not go through the origin
200
Solve for n
?/6 = 19/30
3.8
200
There are 108 feet in 36 yards. What is the constant of proportionality that relates y, the number of yards to x, the number of feet? Round to the nearest tenths place
k = 0.3
300
How do you fine the Constant of Proportionality?
k = y/x
300
Is this equation proportional? If so what is the constant of proportionality? (K=)
y= ¾ x
proportional
k= 3/4
300
Is the table proportional? Why?
No
300
Given the table is proportional. Solve for K
K = 13
300
The cost of 6 pounds of almonds is $23.28. What is the constant of proportionality that relates y, the cost in dollars, to x, the number of pounds?
k = 3.88
400
Is this graph proportional?
YES
400
Using this graph, What is the equation? 
y= 1/6x
400
Is the table proportional? Why?
Yes it is proportional
400
y/x=6/2
what is this constant of proportionality
3
400
Camping Craze hires a graphic designer to create a new logo and marketing materials. The graphic designer charges Camping Craze $45.00 per hour. How much did the graphic designer make if he spent 8 hours working on the sign?
$360
500
Kaylee loves to read and discuss books, so she joined a book club. The first book she read as a member of the club was a novel set in ancient Rome. Kaylee read the novel at a rate of 10 pages per hour.
How many pages will she have read after 16 hours?
160 pages
500
Write an equation for the table given the table is proportional.
Y= 3/2 x
Y = 1 1/2x
500
a) yes
500
8.75 hours
500
Three pounds of bananas cost $1.95. Which of the following is not true?
a. One pound of bananas is $0.75.
b. The equation y = 0.65x could be used to determine the cost of x pounds of bananas.
c. Seven pounds of bananas is $4.55.
A.
It should be $0.65