What is the Equation that represents a proportional relationship?
Y=K(X)
Is it proportional?
Yes
What is the constant of proportionality in the following:
y=4.5x
4.5
Write the equation for the following:
y=0.2x
Four movie tickets cost $30. Five concert tickets cost $36.50. Does the concert or movie ticket cost less? How much less?
Concert, $0.20
A constant multiple that relates proportional quantities is considered what?
constant of proportionality or K
Does the graph show a proportional relationship?
No
What is the constant of proportionality in the following:
7x= y
7
The points (14,7) and (1.5, 0.75) are on the graph of a proportion. What is the equation?
y=0.5x
Use the following graph to determine how many gallons were used in 12 minutes.
k=5
y=5x
y=5(12)
y= 60
60 gallons in 12 minutes.
If there is a constant of proportionality, it is a ........
proportional relationship
Is it proportional?
No
What is the constant of proportionality in the following:
y=8.23x
8.23
Write the equation for the following:
y=8x
Marco needs to buy some cat food. At the nearest store, 3 bags cost $15.75. Find the constant rate of change then figure out how much would Marco spend on 5 bags of cat food.
15.75/3 = 5.25
5.25 x 5=
$26.25
What is the equation you use to find the constant of proportionality?
K=y/x
Does the table show a proportional relationship? If so, write the constant rate of change AND an equation.
Yes, it is proportional
-k = 1/4
- y= 1/4x
The points (2,4) and (3,6) are on the graph of a proportional relationship. What is the constant of proportionality?
k=2
Is the following proportional? If so, what is the equation?
(15,60) (19,76) (23,92)
y=4x
Mika can eat 18 donuts in 6 minutes. Find the constant rate of change, then calculate if she eats 35 donuts, how many minutes would it take her.
k=18/6=3
3 x 35
105 minutes
How do you know a graph is proportional? List all three things it needs to be.
- constant rate of change (k)
- starts at the origin (0,0)
Name the constant of proportionality.
k=4/3
Is the following proportional? If so, what is the equation? If not, explain why.
Non-proportional; does not start at (0,0)
If Karen can bake 14 cakes in 6 hours, how many cakes can she bake in 15 hours?
15 x 2.333= 35
Karen can bake 35 cakes in 15 hours.