1. RP Part 1 SBAC Review

2. Helen made a graph that represents the amount of money she earns, y, for the numbers of hours she works, x. The graph is a straight line that passes through the origin and the point (1, 12.5). Which statement must be true?
A The slope of the graph is 1.
B Helen earns $12.50 per hour.
C Helen works 12.5 hours per day.
D The y-intercept of the graph is 12.5.

3. Roberto is making cakes
Roberto is making cakes. The number of cups of flour he uses is proportional to the number of cakes he makes. Roberto uses 22 ½ cups of flour to make 10 cakes. Which equation represents the relationship between f, the number of cups of flour Roberto uses, and c, the number of cakes he makes?
a. F=4/9 c
b. F=2 ¼ c
c. F=2 ½ c
d. F=10c

4. The value of y is proportional to the value of x
The value of y is proportional to the value of x. The constant of proportionality for this relationship is 2. On the grid below, graph this proportional relationship.
Write an equation for this relationship. Explain the significance of points (0,0) and (1,y).

5. David uses ¼ cup of apple juice for every ½ cup of carrot juice to make a fruit drink.
How many cups of apple juice does David use for 1 cup of carrot juice?

6. Cups of Sugar Cups of Flour 2 5 6 15 8 20
This table shows a proportional relationship between the number of cups of sugar and flour used for a recipe. How many cups of sugar do you need for one cup of flour?
Cups of Sugar
Cups of Flour 2 5 6 15 8 20

7. Cups of Sugar Cups of Flour 2 ½ 7 ½ 3 ¾ 11 ¼
This table shows a proportional relationship between the number of cups of sugar and flour used for a recipe. How many cups of sugar do you need for one cup of flour?
Cups of Sugar
Cups of Flour
2 ½
7 ½
3 ¾
11 ¼

8. This diagram shows how much apple juice is mixed with carrot juice for a recipe. How many cups of apple juice are used for 1 cup of carrot juice?

9. This diagram shows how much apple juice is mixed with carrot juice for a recipe. How many cups of apple juice are used for 1 cup of carrot juice?  

10. For a drink recipe, the amount of papaya juice is proportional to the amount of carrot juice. This equation represents the proportional relationship between the number of quarts of papaya juice (p) and carrot juice (c) in a recipe. 2p = 8c How many quarts of papaya juice are used for 1 quart of carrot juice?

11. For a drink recipe, the amount of papaya juice is proportional to the amount of carrot juice. This equation represents the proportional relationship between the number of quarts of papaya juice (p) and carrot juice (c) in a recipe. (1 1/3 )p = (3 1/3 )c How many quarts of papaya juice are used for 1 quart of carrot juice?

12. Select all tables that represent a proportional relationship between x and y.

13. Select all the graphs that show a proportional relationship.

14. This graph shows a proportional relationship between the number of hours (h) a business operates and the total cost of electricity (c). Find the constant of proportionality (r). Using the value for r, write an equation in the form of c = rh that represents the relationship between the number of hours (h) and the total cost (c).

15. This graph shows a proportional relationship between x and y
This graph shows a proportional relationship between x and y. Find the constant of proportionality (r). Using the value for r, write an equation in the form of y = rx.

16. This table shows a proportional relationship between x and y
This table shows a proportional relationship between x and y. Find the constant of proportionality (r). Using the value for r, write an equation in the form of y = rx. x y 4 48 5 60 8 96

17. This graph shows a proportional relationship between the number of hours (h) a business operates and the total cost (c) of electricity. Write True or False for each statement about the graph.
Statement
Point A represents the total cost of electricity when operating the business for 6 hours.
The total cost of electricity is $8 when operating the business for 80 hours.
The total cost of electricity is $10 when operating the business for 1 hour.

18. Tim makes 80 gallons of paint by mixing 48 gallons of green paint with 32 gallons of blue paint. What part of every gallon is from green paint? The model represents 1 gallon of mixed paint. Shade the bars to show how much of the gallon is from green paint.

19. A bottle is ½ full. It contains 1/10 gallon of water
A bottle is ½ full. It contains 1/10 gallon of water. There are 16 cups in one gallon.   Tell the total number of cups it takes to completely fill the whole bottle. .

20. Vegetable Amount (lbs) Cucumbers 50 Onions 55 Peppers 30 Tomatoes 85
Elias is a produce manager at a grocery store. He buys fresh vegetables from local farmers each week. Based on previous sales, he has identified the following ideal ratios (in pounds) to keep in stock for certain vegetables. The ratio of tomatoes to onions is 3:2. onions to peppers is 2:1. peppers to cucumbers is 2:5. This table shows the amount, in pounds, of each vegetable a local farmer has available to sell to Elias Elias buys all 50 pounds of the farmer’s cucumbers. He then buys the remaining vegetables according to the ideal ratios shown above. Tell the amount of peppers, in pounds, Elias buys. Tell the amount of tomatoes, in pounds, Elias buys.
Vegetable
Amount (lbs)
Cucumbers 50
Onions 55
Peppers 30
Tomatoes 85