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15.1 Is this an example of a direct or indirect proportion? Give a reaon for your answer.

Ask by Craig Thornton. in South Africa
Mar 05,2025

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Answer

Cannot determine if it's direct or indirect proportion without more information.

Solution

To determine whether a relationship is an example of direct or indirect (inverse) proportion, we need to understand the definitions of both: 1. **Direct Proportion**: Two quantities are directly proportional if they increase or decrease together. This means that if one quantity doubles, the other also doubles. Mathematically, this can be expressed as \( y = kx \), where \( k \) is a constant. 2. **Indirect (Inverse) Proportion**: Two quantities are inversely proportional if one quantity increases while the other decreases. This means that if one quantity doubles, the other is halved. Mathematically, this can be expressed as \( y = \frac{k}{x} \), where \( k \) is a constant. To classify the relationship in question (15.1), we need to analyze the context or the specific quantities involved. - If the problem states that as one quantity increases, the other also increases, it is a direct proportion. - If it states that as one quantity increases, the other decreases, it is an indirect proportion. Since the specific details of the quantities in question are not provided, I cannot definitively classify the relationship without additional information. Please provide more context or details about the quantities involved in 15.1 for a precise classification.

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In direct proportion, as one quantity increases, the other quantity also increases at a constant rate, while in indirect (or inverse) proportion, one quantity increases as the other decreases. If the relationship between the two quantities shows that they change in the same direction, then it's a direct proportion. For example, if doubling one quantity results in doubling the other, that's a sign of direct proportion. To determine which type of proportion you're dealing with, look at the changes: are both numbers soaring together or one climbing while the other plummets? Analyzing these trends will help you spot the clear pattern quicker than a detective on a case!

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