Lesson 7- Interpreting Graphs of Proportional Relationships

Unlock proportional relationships! Learn to interpret graphs, find the constant, and write equations.

1. Fill in the blanks. In every graph of a proportional relationship, the graph is a straight line and passes through the point (0,0), also known as the origin. 2. The graph shows a proportional relationship between the number of tickets sold and the cost of an ice skating performance. a. What is the constant of proportionality? 18 b. What does the constant of proportionality mean in the situation? The ice-skating performance cost $18 for 1 ticket. The ice-skating performance cost $36 for 2 tickets. The ice-skating performance cost $1 for 18 tickets. The ice-skating performance cost $2 for 36 tickets. c. Which of the following is an ordered pair on the graph? What does it represent in this situation? (2, 36); the ice-skating performance cost $2 for 36 performances. (36, 2); the ice-skating performance cost $2 for 36 performances. (2, 36); the ice-skating performance cost $36 for 2 performances. (36, 2); the ice-skating performance cost $36 for 2 performances. 3. Given is the table that shows a proportional relationship between the number of books sold and their cost. a. What is the missing value for the table? 6.50 b. What does the point (1, 6.50) represent in this situation? What does the point (0,0) represent? 6.50 paperback books cost $1; 0 paper backs cost $0 6 paperback books cost $1; 0 paper backs cost $0 1 paperback book cost $6.50; 0 paperback books cost $0 4. The graph shows the relationship between the number of pounds of sugar and the number of cups a bakers uses to bake. How many cups does the baker need for 12 pounds of sugar? The baker used 60 cups for 12 pounds of sugar. 5. The graph shows a proportional relationship between the number of tennis balls and the number of cans of tennis balls. Which equation relates the distance, y, and the time, x? 3