Additive and Multiplicative Relationships Worksheet
Explore additive and multiplicative relationships in this Grade 12 math worksheet, covering linear equations, growth patterns, and real-world applications.
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Additive and Multiplicative Relationships
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. Describe the key difference between an additive relationship and a multiplicative relationship. Provide an example of each.
2. In the equation y = x + 7, the relationship between x and y is .
3. In the equation y = 5x, the relationship between x and y is .
4. If a population doubles every hour, this represents a relationship.
5. A taxi charges a flat fee of $3 plus $2 for every mile driven. Which type of relationship best describes the total cost (C) based on the number of miles (m) driven?
Additive
Multiplicative
Both additive and multiplicative
Neither
6. Plot the points for the equation y = 2x + 1 on the graph below. Is this an additive or multiplicative relationship? Explain.
7. A linear function always represents an additive relationship.
True
False
8. A bacteria population starts with 100 cells and triples every hour. Write an equation that models this growth. Is this an additive or multiplicative relationship? Justify your answer.
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