Equations of Proportional Relationships
Identifying Proportional Relationships
Solve
Percents
% Increase and Decrease
100
What is the equation that represents a proportional relationship?
y=kx
100
Are these ratios proportional? 
Yes
100
What is the ordered pair of the origin?
(0,0)
100
If there are 6 girls in a class of 10 what is the percentage?
60%
100
What is the cost of a $100 sweater reduced by 10% off
$90
200
Is this equation proportional? y= 3x
If so what is the constant of proportionality?
Yes
k=3
200
a) yes
200
If a toy train travels 60 centimeters in 4 seconds, what is it's speed in centimeters per second?
15 seconds
200
If there are 7 boys in a class of 20 what is the percentage?
35%
200
What is the cost of a $10 item reduced by 25%
$7.50
300
Is this equation proportional? If so what is the constant of proportionality?
y= 3/4x
proportional
k= 3/4
300
What word has 26 letters but only 3 syllables?
Alphabet
300
Solve
n=3.8
300
If there are 9 boys and 11 girls in a class what is the percentage of each?
45% boys and 55% girls
300
What is the cost of a $20 item reduced to 25%
$5
400
Is this equation proportional? If so what is the constant of proportionality?
y= 4x + 10
Not proportional
400
Is the table proportional? Why?
Yes it is proportional, same constant k=9.
400
Recipe 1 is given by the equation y = 4x where x represents the cups of lemonade mix and y represents the cups of water.
If Tyler had 16 cups of lemonade mix, how many cups of water would he need?
64 cups of water
400
What is 15% of 100?
15
400
What is the cost of $20.00 sweater that is on sale for 20% off with an additional 10% taken off at the register?
$14.40
500
Write an equation for the table given the table is proportional.
Y= 3/2 x
500
Is the table proportional? Why?
No, not the same constant.
500
8.75 hours
500
What is 30 percent of 200?
60
500
You keep $1000 in your bank account for 2 years where it accrues or increases by 3% annually. Assuming you do not deposit (add) or withdraw (subtract) any money how much is the total balance at the end of two years?
$1060.90