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How many square feet can be treated with a hand sprayer holding 1 gallon if 4 ounces of the spray mix is needed for 100 square feet?

  1. 1,600

  2. 2,400

  3. 3,200

  4. 4,000

The correct answer is: 3,200

To determine how many square feet can be treated with a hand sprayer holding 1 gallon, we first need to convert the volume of the sprayer from gallons to ounces, as the application rate is given in ounces. There are 128 ounces in 1 gallon. Next, we know that 4 ounces of the spray mix is required to treat 100 square feet. To find out how many 4-ounce portions fit into 128 ounces, we perform the following calculation: 128 ounces divided by 4 ounces equals 32. This means there are 32 portions of the spray mix available in 1 gallon. Since each portion treats 100 square feet, we then multiply the number of portions (32) by the coverage area per portion (100 square feet): 32 portions times 100 square feet per portion equals 3,200 square feet. Therefore, a hand sprayer holding 1 gallon can treat a total of 3,200 square feet, which confirms the correct answer. The other choices, while potentially relevant calculations, do not fit the logic and arithmetic as applied to the conditions of the problem.