1. **Stating the problem:** A person pays 14.40 for 60 feet of something. We want to find how much extra she will pay for 40 feet. 2. **Understanding the problem:** The cost is proportional to the length. We can find the cost per foot and then calculate the cost for 40 feet. 3. **Formula used:** Cost per foot = \frac{Total cost}{Total feet} 4. **Calculate cost per foot:** $$\text{Cost per foot} = \frac{14.40}{60}$$ 5. **Simplify the fraction:** $$\text{Cost per foot} = \frac{\cancel{14.40}}{\cancel{60}} = 0.24$$ 6. **Calculate cost for 40 feet:** $$\text{Cost for 40 feet} = 40 \times 0.24 = 9.60$$ 7. **Calculate extra amount paid:** Since she pays 14.40 for 60 feet, and 9.60 for 40 feet, the extra amount is: $$14.40 - 9.60 = 4.80$$ **Final answer:** She will pay an extra 4.80.