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Which of the following scenarios describes costs that are proportional to area and which describes costs that are not proportional to area?

Mulch that costs a set amount to cover a square foot. Asphalt sealant that is quoted at a set price per square foot, plus a labor fee. Carpeting that costs $22 for every 3 square yards. A wood deck quoted at a bulk cost for 25 square feet.

Cost Is Proportional to Area
Cost Is NOT Proportional to Area
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  1. 1. Mulch that costs a set amount to cover a square foot: Cost Is Proportional to Area

    *Explanation: The cost directly increases with the area covered.*

    2. Asphalt sealant that is quoted at a set price per square foot, plus a labor fee: Cost Is NOT Proportional to Area

    *Explanation: The additional fixed labor fee means the total cost isn’t just based on area but also includes a constant fee.*

    3. Carpeting that costs $22 for every 3 square yards: Cost Is Proportional to Area

    *Explanation: The cost increases consistently with the area as it represents a rate per square yards.*

    4. A wood deck quoted at a bulk cost for 25 square feet: Cost Is NOT Proportional to Area

    *Explanation: The bulk pricing suggests a fixed cost for a specific area rather than a variable cost based on the area.*

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