You determined from a calibration test that your boom sprayer delivers 8 gallons of water over a 0.25 acre test area. How much spray mixture is needed for a 10-acre field application?

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To calculate the amount of spray mixture needed for a 10-acre field application based on the calibration test, it is essential to understand the relationship between the area covered and the amount of water delivered by the sprayer.

From the calibration test, the sprayer delivers 8 gallons of water over a 0.25-acre area. To determine the gallons of spray required per acre, you can scale this up. Since 0.25 acres is one-fourth of an acre, you multiply the 8 gallons by 4 to find the amount needed for one full acre, which results in 32 gallons per acre.

Now, for a 10-acre field, you simply take the amount needed per acre (32 gallons) and multiply it by the total number of acres:

32 gallons/acre × 10 acres = 320 gallons.

This calculation shows why the total amount of spray mixture required for the 10-acre field application is 320 gallons, confirming that this is indeed the correct answer.

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