A crop consultant counts an average of 34 corn plants per 20-foot length of row planted in 30-inch rows. What is the estimated plant population in plants per acre?

To estimate the plant population in plants per acre based on the given information, we first need to calculate the number of rows of corn that can fit in an acre and then use the average number of plants per row.

1. Understanding the spacing: The rows are planted 30 inches apart. There are 43,560 square feet in an acre. Since 30 inches is equal to 2.5 feet, we can determine the number of rows per acre by taking the total width of an acre in feet and dividing it by the row width:

[

\text{Rows per acre} = \frac{43,560 \text{ ft}^2}{2.5 \text{ ft}} = 17,424 rows

]

2. Calculating the number of 20-foot segments in an acre: Each row is 20 feet long, so we also need to calculate how many 20-foot segments fit into an acre:

[

\text{Segments per acre} = \frac{43,560 \text{ ft}}{20 \text{ ft}} = 2,178 segments

]

3. Using the average plant count: With an average of