The Orange Juice Problem Revisited (1 graph)Name: ______

Arvind and Mariah are mixing orange juice at camp. They can mix the juice as follows:

1. Complete the table for each mix.

Mix A / Mix B / Mix C / Mix D
Conc. / Water / Conc. / Water / Conc. / Water / Conc. / Water
2 cans / 2 cans / 2 cans / 3 cans
4 cans / 4 cans / 4 cans / 6 cans
1 can / 1 can / 1 can / 1 can
W
A
T
E
R
C / O / N / C / E / N / T / R / A / T / E

2. Circle the unit rate for each orange juice mix.

3. Now write each unit rate as a fraction.

Mix A:

Mix B:

Mix C:

Mix D:

4. Pick a different color for each mix. Graph the relationship between concentrate and water on the graph to the right.

5. Which mix will taste the most orange-y? Why?

The Orange Juice Problem Revisited (4 graphs)Name: ______

Arvind and Mariah are mixing orange juice at camp. They can mix the juice as follows:

1. Complete the table for each mix.

Mix A / Mix B / Mix C / Mix D
Conc. / Water / Conc. / Water / Conc. / Water / Conc. / Water
2 cans / 2 cans / 2 cans / 3 cans
4 cans / 4 cans / 4 cans / 6 cans
1 can / 1 can / 1 can / 1 can

Mix AMix B

W / W
A / A
T / T
E / E
R / R

CONCENTRATECONCENTRATE

Mix CMix D

W / W
A / A
T / T
E / E
R / R

CONCENTRATECONCENTRATE

7th Grade Math: Proportional Tables, Stories, and GraphsName: ______

1. If Joe can do 10 multiplication problems in 5 seconds, how long should it take Joe to do 2 multiplication problems? (This is called a proportion problem).

a) Create a table of values showing how long it should take him to do from 1 to 5 multiplication problems. Then graph the points on the table on the coordinate plane.

b) What is the unit rate? ______

c) How long should it take Joe to do 2 multiplication problems? ______

2. Bob’s Burger Barn has a special deal of 4 hamburgers for $6. At that rate, how much should it cost to buy 3 hamburgers?

a) Fill in the table to show the price for 0 to 5 hamburgers. Then graph the information.

b) What is the unit rate? ______

c) At that rate, how much should 3 hamburgers cost? ______

3. Chocolate cinnamon bears cost $3.00 per pound. Create a table of values showing how much it would cost to buy up to 3 pounds of this candy. Then graph the points from the table on the coordinate plane.

What is the unit rate? ______

4. You want to buy some candy for your birthday party. You go to two different grocery stores and see the following special offers:

a) Complete the table for each offer

First Offer / Second Offer
Pounds / Price / Pounds / Price
1 / 1
2 / 2
3 / 3

Unit Rate: Unit Rate:

b) Graph each offer in a different color on the

same coordinate plane.

c) Which is the better deal for Salt Water Taffy?

How do you know?

5.Mario will pay you 360 gold coins for 2 hours of racing Go-Karts.

Luigi will pay you 426 gold coins for 3 hours of racing Go-Karts.

a) Complete the table for each offerb) Write each offer as a rate fraction.

Mario’s Offer / Luigi’s Offer
Hours / Payment / Hours / Payment
1 / 1
2 / 2
3 / 3
4 / 4
5 / 5

Mario’s: ______Luigi’s: ______

c) Find the unit rate for each offer.

Mario’s: ______Luigi’s: ______

d) Graph each offer in a different color on the same coordinate plane.

e) Whom would you rather race for? ______Why? ______

______

6.The Jones family drives 200 miles in 5 hours.

The Grant family drives 360 miles in 6 hours.

a) Complete the table for each family.

Jones Family / Grant Family
Hours / Miles / Hours / Miles

Unit Rate:______Unit Rate:______

b) Graph each family’s rate in a different color on the

same coordinate plane.

c) Which family is driving faster? ______How do you know? ______

7.The tortoise can walk ½ a mile in ¼ of an hour.

The hare can run 1½ miles in ½ of an hour.

a) Complete the table for each animal.

Tortoise / Hare
Hours / Miles / Hours / Miles

Unit Rate:______Unit Rate:______

b) Graph each animal’s rate in a different color

on the same coordinate plane.

c) Which animal is faster? ______How do you know? ______