To solve this problem, let’s analyze the provided information and calculate both the shortest walking distance (following the grid layout) and the straight-line distance (direct distance between the two points):

Given:

1. East-West block length: $\frac{1}{10}$ mile.
2. North-South block length: $\frac{1}{8}$ mile.
3. Route from Grocery Store to Bus Stop: Count the blocks traveled in the east-west and north-south directions.

Steps to Solve:

1. Counting the Blocks:

   • By examining the map, count how many blocks Victoria has to travel east and how many blocks south to go from the Grocery Store to the Bus Stop.

2. Calculate Walking Distance:

   • Multiply the number of east-west blocks by $\frac{1}{10}$ mile.
   • Multiply the number of north-south blocks by $\frac{1}{8}$ mile.
   • Add these two distances to get the total walking distance.

3. Calculate Straight-Line Distance:

   • Use the Pythagorean theorem. If Victoria needs to travel $x$ blocks east and $y$ blocks south, the straight-line distance $d$ can be calculated as: $d = \sqrt{(x \times \frac{1}{10})^2 + (y \times \frac{1}{8})^2}$

Once we complete these calculations, we’ll round the answer to the nearest hundredth as needed. Let me go through these calculations for the exact answer.The results are as follows:

1. Shortest Walking Distance: 0.68 miles.
2. Straight-Line Distance (as the crow flies): 0.48 miles.

Would you like a detailed breakdown of these steps or have further questions?

Related Questions

1. How would the distances change if each block's length doubled?
2. What would happen to the straight-line distance if Victoria walked diagonally along each block?
3. How can we calculate the distance if the map layout had irregular block lengths?
4. How would this problem differ if one block was uphill or downhill?
5. How can similar calculations be applied in real-world GPS distance measurements?

Tip:

For accurate results, break down each movement (east-west and north-south) before combining them, especially in grid-based layouts.