Station #1

You will be practicing New York State questions. You will answer the questions in your packet.

Station #2Using the pictures below:

Create 4 different word problems

Create a table that represents your word problem Create a graph that represents your table Write an equation that represents all of the above

Lamborghini gets 20mpg on the highway

You need to bake 24 cookies.

You need to make 5 gallons of Kool-Aid

you want to download 25 songs on iTunes

Station #3

Your job is to complete the tables and graphs on your worksheet. Pay attention to the directions because some of the tables and graphs you need to complete to represent proportional relationships and some need to represent non-proportional relationships.

Station #4

Using the equations below, create a word problem, a table and a graph that represents the equation. Be sure to answer the questions on the worksheet regarding your equation.

1.) Y = 9x2.) Y=3x3.) Y=2x4.) Y= ½ x5.) Y =

Name: _____________________

Proportional & Non-Proportional Relationships Review

Station #1

1.) The scale of a model train is 1 inch to 13.5 feet. One of the cars of the model train is 5 inches long. What is the length, in feet, of the actual train car?

2) Ms. Graves gave her class 12 minutes to read. Carrie read 6 ½ pages in that time. At what rate, in pages per hour, did Carrie read?

3.) Consuelo is grocery shopping and sees that the price of 4 melons is $7.00. How much does it cost for one melon?

4.) A 20-ounce bag of popcorn costs $2.80. If the unit price stays the same, how much does a 35-ounce bag of popcorn cost?

5.) Jeff wants to buy a phone card for long-distance calls. He can buy a 200-minute card for $10.00 or a 300-minute card for $12.00. Which card is the better value?

6.) The table shows the relationship between the number of parents in a household and the number of children in the same household.

Number of Parents Number of Children

0 0

1 2

1 5

2 3

2 1

Is the number of children proportional to the number of parents in the household? Explain why or why not.

7.) Joseph earns $14 for every lawn he mows. Is the amount of money he earns proportional to the number of lawns he mows?

Make a table to help you identify the type of relationship. If it is proportional, state the constant of proportionality.

What is the constant of proportionality? Write an equation that models this situation.

8.)

Is this graph proportional? Why or why not?

9.)

Is this graph proportional? Why or why not?

10.) The relationship between the length of one side of a square, x , and the perimeter ofthe square, y, can be represented in an xy-plane by a straight line. Which of the pointswith coordinates (x, y ) lie on the line? (HINT: Think if how you find the perimeter of a square)a.) (2, 6) b.) (2, 8) c.)(6, 2) d.)(8, 2)

How did you arrive at your answer?

11.) Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games.Len owns his bowling ball and shoes, so he only has to pay for each game that hebowls. If each of these bowling games costs the same amount of money, what isthe constant of proportionality between the money spent and the number ofgames played?

What does the point (0, 0) represent?

Why are we focusing on quadrant 1?

Why is the label on the y-axis “number of portraits”? Could we switch it to time spent drawing?

What coordinate point represents the unit rate?

What does the point (4, 6) represent?

Station #2

Word Problem: Table:

Graph: Equation:

Word Problem: Table:

Graph: Equation:

Word Problem: Table:

Graph: Equation:

Word Problem: Table:

Graph: Equation:

Station #3

1.) The table below shows the ratio of cupcakes to tablespoons of icing.  Dora knows how much icing she will need for up to three cupcakes. Complete the table to represent a proportional relationship.Number of Cupcakes

1

Tablespoons of Icing

3

2.) The Red Star Electronics Company can make 240 headphones in a four hour shift.  Find the unit rate and create a chart to show how many headphones can be made over a 8hour period.  Then, using the chart, state how many headphones the company can make in 8 hours. Complete the table to represent a proportional relationship.Hours 1 2 3 4 5 6 7 8

Headphones 240

3.) John mows lawns in Niagara County. He charges a flat fee of $10 and then $5 per hour. Complete the table below to represent a non-proportional relationship.Hours 1 2 3 4 5 6 7 8

Money Earned $15

4.) Shelly babysits for her neighbors. She charges then $6 in gas money and then $8 per hour. Complete the table below to represent a non-proportional relationship.Hours 1 2 3 4 5 6 7 8

Money Earned $38

5.) Complete the graph to represent a proportional relationship.

6.) Complete the graph to represent a non-proportional relationship

7.) Create a graph to represent a non-proportional relationship.

8.) Create a graph to represent a proportional relationship.

Station #4Y=9x

Word Problem: Table:

Graph: 1.) What is the constant of proportionality? What does it represent?

2.) What does the x-value represent? What does the y-value represent?

3.) What if x=20, what would y equal?

4.) What if y = 45, what would x equal?

Y=3xWord Problem: Table:

Graph: 1.) What is the constant of proportionality? What does it represent?

2.) What does the x-value represent? What does the y-value represent?

3.) What if x=20, what would y equal?

4.) What if y = 30, what would x equal?

Y=2xWord Problem: Table:

Graph: 1.) What is the constant of proportionality? What does it represent?

2.) What does the x-value represent? What does the y-value represent?

3.) What if x=20, what would y equal?

4.) What if y = 40, what would x equal?

Word Problem: Table:

Graph: 1.) What is the constant of proportionality? What does it represent?

2.) What does the x-value represent? What does the y-value represent?

3.) What if x=20, what would y equal?

4.) What if y = 40, what would x equal?

Word Problem: Table:

Graph: 1.) What is the constant of proportionality? What does it represent?

2.) What does the x-value represent? What does the y-value represent?

3.) What if x=30, what would y equal?

4.) What if y = 45, what would x equal?