https://file.aiquickdraw.com/mathbot/file/1728660797922hqdtmb7c.jpg

The problem in the image can be solved using the concept of ratios.

We are given that:
- 3.5 inches on the map corresponds to 450 miles in reality.
- Two cities are 7.25 inches apart on the map, and we need to find how far apart they are in actual miles.

We can set up the proportion as follows:

\[
\frac{3.5 \text{ inches}}{450 \text{ miles}} = \frac{7.25 \text{ inches}}{x \text{ miles}}
\]

Now, solve for \(x\) (the actual distance in miles):

1. Cross-multiply:
\[
3.5 \times x = 450 \times 7.25
\]

2. Calculate the right-hand side:
\[
450 \times 7.25 = 3262.5
\]

3. Solve for \(x\):
\[
x = \frac{3262.5}{3.5} = 932.14 \text{ miles}
\]

Rounded to the nearest tenth, the two cities are **932.1 miles** apart.

Would you like more details or have any further questions? Here are some related questions you might find helpful:

1. How do map scales work in general?
2. How can I convert distances between different scales?
3. What is the formula for proportionality in similar problems?
4. How would the calculation change if the scale were given in kilometers?
5. What are some real-world applications of map scaling?

**Tip**: Always ensure your units (inches, miles, etc.) are consistent throughout your calculations.

The scale on a map is drawn so that 3.5 inches corresponds to an actual distance of 450 miles. If two cities are 7.25 inches apart on the map, how many miles apart are they? (Round to the nearest tenth)

Learn how to calculate the real distance between two cities using a map scale. The problem uses proportions to solve for the actual distance, with a map scale of 3.5 inches for 450 miles, and cities 7.25 inches apart on the map. Suitable for middle school students in Grades 6-8.

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