Final answer:
Paiton needs 2 gallons of paint to cover an entire wall, since 1/4 gallon covers 1/8 of the wall and 8 times 1/4 gallon equals 2 gallons.
Step-by-step explanation:
Paiton is painting her room and wants to know how much paint is needed for an entire wall. She has determined that 1/4 gallon of paint will cover 1/8 of a wall. To find out the total amount of paint required for the whole wall, we must see how many times 1/8 goes into a whole, which is 8 times (since 1 divided by 1/8 equals 8). Therefore, if 1/4 gallon covers 1/8 of the wall, 8 times the amount is needed for the entire wall.
To calculate this, we multiply 1/4 gallon by 8:
1/4 gallon x 8 = 2 gallons
So, the amount of paint Paiton needs to cover the entire wall is 2 gallons, which corresponds to answer choice D.