How many square feet could you treat with a hand sprayer holding 1 gallon, if it takes 4 ounces of the spray mix to treat 100 square feet?

To determine how many square feet a hand sprayer holding 1 gallon can effectively treat, it's essential to first convert the gallon into ounces since the spray mixture usage is given in ounces. There are 128 ounces in a gallon.

According to the problem, it takes 4 ounces of the spray mix to treat 100 square feet. To find out how many square feet can be treated with 128 ounces, we can set up a proportion based on the information provided.

First, calculate how many times 4 ounces fits into 128 ounces:

128 ounces ÷ 4 ounces per 100 square feet = 32.

This calculation indicates that there are 32 times the amount of the spray mix needed in 1 gallon compared to what is required for a single treatment of 100 square feet.

Next, since each treatment covers 100 square feet, we multiply:

100 square feet × 32 = 3,200 square feet.

This shows that with 1 gallon of spray mix, you can cover a total area of 3,200 square feet, making the correct answer the one that states this total. Therefore, the correct answer is 3,200 square feet.