Question

2. On a map of the United States, 24 centimeters represents 18 miles.How many centimeters represent one mile? how long is the line segment between A and B in centimeters? If A and B represent two cities, what is the actual distance between the two cities

Answer 1

On a map of the United States, 24 centimeters represents 18 miles.

How many centimeters represent one mile?

We can set up the following proportion

$\frac{x\operatorname{cm}}{1\: mi}=\frac{24\operatorname{cm}}{18\: mi}$

Let us solve the equation for x.

$\begin{gathered} x=\frac{24\operatorname{cm}}{18\: mi}\cdot1\: mi \\ x=\frac{4}{3}\operatorname{cm} \end{gathered}$

Therefore, 4/3 cm represents one mile.