To address this problem step-by-step, let's start with the given information and break it down logically.
1. Initial Information:
- 1 gallon of paint covers 30 square feet.
- 1 gallon equals 128 fluid ounces.
2. Determine the Coverage per Fluid Ounce:
- We need to find out how much area 1 fluid ounce of paint can cover.
- Since we know that 1 gallon (which is 128 fluid ounces) covers 30 square feet, we will divide the total coverage area by the number of fluid ounces in a gallon to determine the coverage per fluid ounce.
3. Calculation:
- Divide the total coverage area (30 square feet) by the total number of fluid ounces in a gallon (128 fluid ounces):
[tex]\[
\text{Coverage per fluid ounce} = \frac{\text{Total coverage area}}{\text{Total number of fluid ounces per gallon}} = \frac{30 \text{ square feet}}{128 \text{ fluid ounces}}
\][/tex]
4. Result:
- Performing this division, we get:
[tex]\[
\text{Coverage per fluid ounce} = 0.234375 \text{ square feet per fluid ounce}
\][/tex]
Therefore, 1 fluid ounce of paint covers approximately [tex]\(0.234375\)[/tex] square feet, which can also be written as [tex]\(0.234375 \text{ ft}^2\)[/tex] per fluid ounce. This is your final answer.
