Activities

1. Are the values in the table for x and y proportional?

2. If 5 pounds of apples cost $3.50, what is the cost of 2 pounds of apples if the cost is proportional to the weight?

3. A group of friends keep track of how many baseball games they played over the summer and how many times they got a hit.  The data is listed in the table below.  According to the table which player has the same ratio of games played to hits per game that is proportional to John? Explain your choice.

4. Mr. Clark and Mrs. Jones both work at the same dealership selling cars. Mr. Clark earns a bonus of $600 for every 8 cars that he sells.  Mrs. Jones gets a bonus of $1200 for every 10 cars that she sells.  Is the dollar amount earned proportional to amount of cars sold for both employees? Show your work.

5. A box of chocolate that weighs 2 pounds costs $25.98, and a box with the same chocolate in it that weighs 5 pounds costs $59.95.  Is the price of the chocolates proportional to their weight? Show your work.
   Part B) If the costs are not proportional which box is a better buy per pound? Explain

6. Use the data from both tables to graph two separate lines on the graph.  Draw a line through each set of points to show the lines. 

            Part B) By looking at the two lines that you created on the graph, which one represents a proportional relationship?  Explain.

Answer Key/Rubric

1. No

2. The cost of 2 pounds of apples would be $1.40

3. The player that has a proportional ratio of games played to hits is Mike.  Reasons might include but are not limited to,

• because if you use the product of the means and extremes you would get

15•5=75 and 3•25=75

• In simplest form the ratio of John is and the ratio of Mike in simplest form is

4. The dollar amount earned by each employee for cars sold is not proportional.  Reasons might include but are not limited to,

• Mr. Clark earns $600 for every eight cars, so 600 ÷8 = $75 per car
• Mrs. Jones earns $1200 for every 10 cars , 1200 ÷ 10 = $120 per car
• Mrs. Jones earns $45 more per car.

5. The price of the chocolate is not proportional to their weight. Reasons might include,

• The 2 pound box costs $25.98 so they cost of one pound would be $25.98 ÷ 2 = $12.99 per pound
• The 5 pound box costs $59.95 so they cost of one pound would be $59.95 ÷ 5 = $11.99 per pound

Part B

• The larger box of chocolate costs less per pound even though it contains the same type of chocolate.
• The larger box cost is $1.00 per pound less than the smaller box.

Part B)  Line A on the graph shows a proportional relationship because it passes through the origin of the graph.