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Learn about proportional relationships in tables through examples, definitions, and explanations. Understand the constant of proportionality and how it relates to different scenarios involving variables. Practice identifying proportional relationships through tables and real-life situations.
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SLOTS • Solve for x. • 4x + 22 = 22 • -9 = 9+ 5x • -40 + 6x = -10 • 320 = -120 + 10x • 5) At Henry Ford, the ratio of teachers to boys is 2:7. If there are 254 boys, how many teachers are there?
DATE: 11.15.17Content: Proportional Relationships - TABLE DAY 2
Proportionality We will look at tables, graphs, equations, and ordered pairs to determine if the relationship between the variables is proportional. YIP: Proportional Relationship: a relationship between TWO quantities where the RATIO remains constant. YIP: This constant ratio is called the “constant of proportionality” (UNIT RATE). The constant of proportionality can never be zero.
Does the table show a proportional relationship between x and y? Explain.
Proportional relationships and tables The table shows the costs for four different photocopying jobs. Is there a proportional relationship between the number of copies and the cost? How do you know?
Proportional relationships and tables Does the table show a proportional relationship between the number of heartbeats and time? Explain.
Proportional Relationships and Tables At a café, the cook uses a recipe that calls for eggs and milk. The amounts of eggs and milk have a proportional relationship. Complete the table.
At HMS, there is an average of 26 students per teacher. Complete the table below to show the proportional relationship.
Homework: Proportional Relationships and Tables Worksheet