Math Problem Statement

What is the scale factor from the map to the actual school?

Solution

From the image, the scale provided states: 1 inch = 10 yards.

The task is to determine the scale factor from the map to the actual school. Since 1 inch on the map represents 10 yards in reality, the scale factor is simply the real-life distance per map unit. Thus:

Scale factor=10 yards per inch.\text{Scale factor} = 10 \text{ yards per inch}.

If you'd like me to go into more detail about this, let me know! Here are 5 related questions to consider:

  1. How do you convert between different units like yards to feet in scale problems?
  2. How can you calculate the actual distance between two points if given more measurements on this map?
  3. What is the importance of a scale factor in real-world applications like architecture or city planning?
  4. How would the scale factor change if the map used "1 inch = 5 yards" instead?
  5. Can the scale factor be expressed in units other than yards per inch?

Tip: Always ensure your units match when solving scale problems to avoid errors!

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Math Problem Analysis

Mathematical Concepts

Scale factors
Proportions
Unit conversion

Formulas

Scale factor = Actual distance / Map distance

Theorems

Concept of proportionality in scaling

Suitable Grade Level

Grade 6-8