The question involves determining how far Jesse is from his home (in yards) based on a scale given on a map.

Solution:

1. Understand the scale:

   • Jesse is 64 yards from City Hall in reality, which corresponds to $\frac{4}{5}$ inch on the map.
   • This gives the scale: $64 \text{ yards} \quad \text{per} \quad \frac{4}{5} \text{ inch}.$

2. Find the yards per inch: Convert the scale to yards per inch: $\text{Scale factor} = \frac{64}{\frac{4}{5}} = 64 \times \frac{5}{4} = 80 \text{ yards per inch.}$

3. Calculate the distance from home: Jesse's home is 3.25 inches from his location on the map. Using the scale factor of 80 yards per inch, the distance in yards is: $\text{Distance} = 80 \times 3.25 = 260 \text{ yards.}$

Final Answer:

Jesse is 260 yards from his home.

Would you like further details or clarifications on any part of this solution?

Related Questions:

1. How is a map scale typically determined?
2. If the map's scale changes, how would that affect calculations like these?
3. What are other real-world applications of using a map scale?
4. How can one measure more complex paths on a map?
5. Can you calculate this problem using a different scale, such as metric units?

Tip:

When working with map scales, always double-check the units used (e.g., inches, yards, miles) to ensure consistent calculations.