Practice for test on proportionality

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Presentation transcript:

Practice for test on proportionality Module 1 – Topic 3

2 points 5 points Extra credit 2 points Write the constant of proportionality in ratio form. Write the constant of proportionality in equation form. Describe how you know a graph has direct variation.

Question 1 Analyze the table, which shows the number of students in 7th Grade who play on soccer teams each year. Determine if the relationship is proportional. Explain your reasoning. 7th Graders Soccer Players Total 7th Graders Girls 184 276 Boys 208 312

In the school band, there are 3 percussion players for every 8 brass instrument players. Question 2 Question 3 If there are 24 brass instrument players in the band, how many percussion players are in the band? Write a proportion and solve. Define variables to represent the quantities that are changing in this situation.

In the school band, there are 3 percussion players for every 8 brass instrument players. Question 4 Question 5 Write an equation to represent the number of brass players based on the number of percussion players. Determine the constant of proportionality for the equation and explain what it means in this situation.

Question 6 Solve for the unknown value using the equation for the constant of proportionality, 𝑦 𝑥 = k. K = 1 4 and y = 3 3 4

Determine the unit rate of laps for 1 minute. Larson swims laps every day. He can swim 6 laps in 24 minutes. The number of laps varies directly with the time. Question 7 Question 8 Determine the constant of proportionality with laps as the independent variable. Determine the unit rate of laps for 1 minute.

Betty knits hats. The number of hats (H) she can knit varies directly with the amount of yarn (y) IN YARDS SHE HAS. THE CONSTANT OF PROPORTIONALITY IS 38. Question 9 Question 10 Write an equation to represent the proportional relationship between the number of yards of yarn Betty has and the number of hats she can knit. What does the constant of proportionality, 38, represent in this situation?