In a rural agricultural research facility, Dr. Patel oversees a groundbreaking experiment aimed at analyzing plant growth patterns. He works on a rectangular field measuring 100,000 feet by 100 feet. Ten regions are selected from the rectangular field, where the dimensions of each region are 1,000 feet (ft) by 100 feet (ft), and no two regions overlap. In each of these regions, Dr. Patel has planted a different number of plants. The number of plants planted in different regions is given in the table below: Region Number of Plants Region Number of Plants 1 120 6 130 2 104 7 135 3 140 8 114 4 112 9 147 5 152 10 121 Which of the following represents a reasonable estimate of the total number of plants planted across the entire field?

Calculate the total area of the field by multiplying its dimensions: 100,000 feet times 100 feet equals 10,000,000 square feet. The area of one selected region is 1,000 feet times 100 feet, or 100,000 square feet. The average number of plants in the ten selected regions is (120 + 104 + 140 + 112 + 152 + 130 + 135 + 114 + 147 + 121) divided by 10, which equals 127.5 plants per 100,000 square feet. Scaling this average to the entire field gives an estimated total of 127.5 times 100, resulting in 12,750 plants, making 12,800 the closest reasonable estimate.

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