Final answer:
The student completes 1/14 of the painting in one hour, calculated by dividing the portion previously completed (1/4) by the hours worked (3.5).
Step-by-step explanation:
The question asks how much of the painting an art student can complete in one hour, given that they completed 1/4 of it in 3.5 hours. To find the rate at which the student paints, we can divide the fraction of the painting completed by the total hours worked. Thus:
- Divide 1/4 (the portion of the painting completed) by 3.5 (the hours spent painting) that gives us ⅔ / 3.5.
- Perform the division: ⅔ ÷ 3.5 = ⅔ ÷ ⅔ = 1/14.
- Thus, the student paints 1/14 of the painting in one hour.
Therefore, if the student continues to paint at the same rate, they will complete 1/14 of the painting in one hour.