Question

the scale on a map indicates that 1 inch represents 10 miles. if two cities are \\(2\frac{3}{4}\\) inches apart on a map, how many miles apart are the two cities?

answer
miles

Explanation:

Convert the mixed number to an improper fraction

$$ 2\frac{3}{4} = \frac{2 \times 4 + 3}{4} = \frac{11}{4} $$

Multiply the map distance by the scale factor

$$ \text{Actual Distance} = \frac{11}{4} \times 10 = \frac{110}{4} $$

Simplify the fraction to a decimal value

$$ \frac{110}{4} = 27.5 $$

Answer:

The scale on a map indicates that 1 inch represents 10 miles. If two cities are \(2\frac{3}{4}\) inches apart on a map, how many miles apart are the two cities?

Answer: <blank>27.5</blank> miles