📚 Topic Summary
Two quantities are proportional if they have a constant ratio. This means that as one quantity increases, the other increases at a constant rate. In a table, you can check for proportionality by dividing each value in one column by its corresponding value in the other column. If all the ratios are the same, the table represents a proportional relationship. If the ratios are different, they are non-proportional.
Let's say we have two quantities, x and y. If y is proportional to x, then we can write this relationship as $y = kx$, where k is the constant of proportionality.
🧮 Part A: Vocabulary
Match each term with its definition:
- Term: Constant of Proportionality
- Term: Proportion
- Term: Ratio
- Term: Proportional Relationship
- Term: Table
- Definition: A display of information in rows and columns.
- Definition: A statement that two ratios are equal.
- Definition: The constant value that relates two proportional quantities.
- Definition: A relationship where two quantities increase or decrease at a constant rate.
- Definition: A comparison of two quantities.
✍️ Part B: Fill in the Blanks
A table shows a ________ relationship if the ratio between the two quantities is always ________. This constant ratio is called the ________. If the ratios are not the same, the table is considered ________.
🤔 Part C: Critical Thinking
Explain, in your own words, how you can determine if a table represents a proportional relationship. Provide an example.