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If 10 plants are placed in a 5 sq ft section of a field, what is the approximate population per acre?

  1. 85,000 plants per acre

  2. 100,000 plants per acre

  3. 50,000 plants per acre

  4. 75,000 plants per acre

The correct answer is: 85,000 plants per acre

To find the plant population per acre based on the given information, you first need to establish the number of square feet in an acre. One acre is equivalent to 43,560 square feet. In the scenario provided, there are 10 plants in a 5 square foot area. To determine how many plants this represents per acre, you can use a ratio or proportion. First, calculate the number of plants per square foot by dividing the number of plants by the area: 10 plants / 5 sq ft = 2 plants per sq ft. Now, multiply this rate by the total number of square feet in an acre: 2 plants/sq ft * 43,560 sq ft/acre = 87,120 plants per acre. When approximating, this is typically rounded to a common number in agricultural practices. The closest option to this calculation is 85,000 plants per acre. Thus, this answer makes sense within the context of agricultural yield estimations and the rounding typically applied in such calculations. The other options exceed or fall short of this number, highlighting the importance of understanding the relationship between area and plant density when scaling up to larger units like an acre.