Vocabulary
Is it Proportional?
Constant of Proportionality
Equation
Problem Solving
100

What is the Equation that represents a proportional relationship?

Y=K(X)

100

Is it proportional? 

Yes

100

What is the constant of proportionality in the following: 


y=4.5x

4.5

100

Write the equation for the following: 

y=0.2x

100

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

200

A constant multiple that relates proportional quantities is considered what?

constant of proportionality or K

200

Does the graph show a proportional relationship?

No

200

What is the constant of proportionality in the following: 


7x= y

7

200

The points (14,7) and (1.5, 0.75) are on the graph of a proportion. What is the equation? 

y=0.5x

200

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.

300

If there is a constant of proportionality, it is a ........

proportional relationship

300

Is it proportional?  

No 

300

What is the constant of proportionality in the following: 


y=8.23x

8.23

300

Write the equation for the following: 

y=8x

300

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

400

What is the equation you use to find the constant of proportionality?

K=y/x 

400

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 

400

The points (2,4) and (3,6) are on the graph of a proportional relationship. What is the constant of proportionality? 

k=2

400

Is the following proportional? If so, what is the equation? 

(15,60) (19,76) (23,92) 

y=4x

400

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


500

How do you know a graph is proportional? List all three things it needs to be.

- straight line

- constant rate of change (k)

- starts at the origin (0,0)

500
Does the equation y=3x+5 show a proportional relationship?
No
500

Name the constant of proportionality. 

k=4/3

500

Is the following proportional? If so, what is the equation? If not, explain why.

Non-proportional; does not start at (0,0)

500

 If Karen can bake 14 cakes in 6 hours, how many cakes can she bake in 15 hours?

k=14/6= 2.333


15 x 2.333= 35

Karen can bake 35 cakes in 15 hours.

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