PRACTICE FOR TEST ON PROPORTIONALITY Module 1 Topic

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PRACTICE FOR TEST ON PROPORTIONALITY Module 1 – Topic 3

PRACTICE FOR TEST ON PROPORTIONALITY Module 1 – Topic 3

EXTRA CREDIT 2 points Write the constant of proportionality in ratio form. 2 points

EXTRA CREDIT 2 points Write the constant of proportionality in ratio form. 2 points 5 points 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 7

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

IN THE SCHOOL BAND, THERE ARE 3 PERCUSSION PLAYERS FOR EVERY 8 BRASS INSTRUMENT

IN THE SCHOOL BAND, THERE ARE 3 PERCUSSION PLAYERS FOR EVERY 8 BRASS INSTRUMENT PLAYERS. Question 2 • If there are 24 brass instrument players in the band, how many percussion players are in the band? Write a proportion and solve. Question 3 • 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

IN THE SCHOOL BAND, THERE ARE 3 PERCUSSION PLAYERS FOR EVERY 8 BRASS INSTRUMENT PLAYERS. Question 4 Question 5 • Write an equation to • Determine the constant of represent the number of proportionality for the brass players based on the equation and explain what number of percussion it means in this situation. players.

QUESTION 6 •

QUESTION 6 •

LARSON SWIMS LAPS EVERY DAY. HE CAN SWIM 6 LAPS IN 24 MINUTES. THE

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 • Determine the unit of proportionality with rate of laps for 1 laps as the independent minute. variable.

BETTY KNITS HATS. THE NUMBER OF HATS (H) SHE CAN KNIT VARIES DIRECTLY WITH

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 • 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. Question 10 • What does the constant of proportionality, 38, represent in this situation?