Complete in Metric Conversions:
A 12 food wide fertilizer spreader drops 45 pounds of fertilizer while traveling 625 feet. What is the fertilizer application rate in pounds/acre?
To find the fertilizer application rate in pounds/acre, we need to convert the given measurements from their initial units (feet and pounds) to the desired units (acres and pounds).
First, let's convert the width of the fertilizer spreader from feet to acres. Since 1 acre is equal to 43,560 square feet, we can calculate the width of the spreader in acres as follows:
Width in acres = Width in feet / 43,560
Width in acres = 12 / 43,560
Now, let's convert the distance traveled by the spreader from feet to acres. Since the spreader has traveled in a straight line, the distance it covers would represent the length of the field. For this conversion, we need to know the length of the field as well. Let's assume the field has a rectangular shape, and the length is 100 feet. This is just an example, and you can substitute the actual length of your field if you have that information. With this assumption, we can calculate the distance traveled by the spreader in acres:
Distance in acres = Distance in feet * Width in acres / (Length of field in feet)
Distance in acres = 625 * (12 / 43,560) / 100
Finally, to determine the fertilizer application rate in pounds/acre, we divide the amount of fertilizer dropped by the spreader by the area covered in acres:
Application rate in pounds/acre = Amount of fertilizer dropped (in pounds) / Distance in acres (in acres)
Application rate in pounds/acre = 45 / (625 * (12 / 43,560) / 100)
By substituting the respective values, you can calculate the fertilization application rate in pounds/acre.