Final answer:
To cover the entire wall, four times the amount of paint that covers 1/4 of the wall is needed. Therefore, 1/2 gallon of paint is required to cover the full wall.
Step-by-step explanation:
If 1/8 of a gallon of paint covers 1/4 of a wall, we need to determine how much paint will cover the entire wall. Since 1/4 of the wall is covered by 1/8 of a gallon, covering the entire wall, which is four times the area of 1/4, would require four times the amount of paint. Thus, we multiply 1/8 gallon by 4 to cover the whole wall.
1/8 gallon × 4 = 4/8 gallon = 1/2 gallon
Therefore, it will take 1/2 gallon of paint to cover the entire wall.
To find out how much paint is needed to cover the entire wall, you need to determine how many times 1/4 fits into 1 whole wall. Since 1/4 of the wall is covered by 1/8 of a gallon of paint, you would need to divide 1 by 1/4.
1 ÷ 1/4 = 1 × 4/1 = 4
Therefore, you would need 4 times the amount of paint to cover the entire wall. In this case, it would be 4 × 1/8 = 4/8 = 1/2 of a gallon of paint.