Answer:
Proportion states that the two ratios or fractions are equal
Given the statement:
The scale on map is 2 cm =25 miles.
Dave measured the distance to the next town at 5 cm.
We have to find the what miles away is the next town.
Let x be the distance in miles away is the next town.
By definition of proportion:
![(2)/(25) = (5)/(x)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lky54byf5i91v65losxf6q8p1s27hp423p.png)
By cross multiply we get;
![2x = 5 * 25](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1hn84ahr5us9f1j17vpg8cmmg8iofskycl.png)
Simplify:
![2x = 125](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pmttpvmvel0x2wt4zj0epr5s2k50wmc5kc.png)
Divide both sides by 2 we get;
x = 6.25 miles
Therefore, 6.25 miles away is the next town.