To find out how many gallons of perfume will be in each container, we need to divide the total amount of perfume (10.5 gallons) by the number of containers (3.5 * 10^2).
First, calculate the number of containers:
\( 3.5 \times 10^2 = 3.5 \times 100 = 350 \) containers.
Now, divide the total amount of perfume by the number of containers:
\[ \text{Amount per container} = \frac{10.5 \text{ gallons}}{350 \text{ containers}}. \]
Next, we perform the division:
\[ 10.5 \div 350 = 0.03. \]
Now, we need to express \(0.03\) in scientific notation:
\[ 0.03 = 3.0 \times 10^{-2}. \]
Therefore, the correct answer in scientific notation is:
\[ \boxed{3 \times 10^{-2}}. \]
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