Additive & Multiplicative Relationships

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What is an additive relationship?

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An additive relationship is when a quantity increases by a constant amount. It can be represented by the equation y = x + b, where b is a constant.

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What is a multiplicative relationship?

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A multiplicative relationship is when a quantity increases by a constant factor. It can be represented by the equation y = kx, where k is a constant.

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What does the equation y = x + 15 represent?

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It represents an additive relationship where the total cost (y) is the cost of groceries (x) plus a delivery fee of $15.

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How do you find the cost of multiple items in an additive relationship?

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You multiply the cost of one item by the number of items and then add any additional fees.

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What does the equation c = 0.79b represent?

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It represents the total cost (c) of b bookmarks, where each bookmark costs $0.79.

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What is the significance of the origin (0,0) in multiplicative relationships?

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In multiplicative relationships, the graph starts at the origin because when there are zero items, the total cost is also zero.

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What does the equation y = 1/4x represent?

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It represents a multiplicative relationship where for every 1 unit of x, y increases by 1/4.

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How can you identify an additive relationship in a graph?

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An additive relationship will show a straight line with a constant slope, indicating a consistent increase.

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How can you identify a multiplicative relationship in a graph?

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A multiplicative relationship will show a curve that starts at the origin, indicating exponential growth.

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What is the formula to calculate total cost in an additive relationship?

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Total Cost = Cost of Item + Additional Fees.