Question

A map shows the town where Niko lives. The actual distance from Niko's house to his school is 3 miles, and measures one-half inch on the map. The actual distance from Niko's school to the library is 4 miles. How long is this distance on the map?

Answer 1

The distance is 2 inches in map

Step-by-step explanation:

Given, the actual distance between Niko’s house and his school is 3 miles

In map, the distance is one half inch (1.5 inch)

Therefore, 1.5 inch (in map) = 3 miles (actual)

If the actual distance is 4 miles

Then, distance in maps is
`(4 * 1.5)/(3)` =2 inches

Hence, the distance is 2 inches in map

Answer 2

The distance of the library in the map is 0.67 inches (Rounding to two decimal places)

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Scale factor for the map of the town = 0.5 inches: 3 miles

Distance from Niko's house to his school = 3 miles

Distance from Niko's school to the library = 4 miles

2. Let's find the distance of the library in the map

Distance of the library in the map = Distance of the library * Scale factor

Distance of the library in the map = 4 miles * 0.5 inches:3 miles

Distance of the library in the map = (2 miles * inches)/3 miles

Distance of the library in the map = 2 inches/3 (Miles are cancelled in the numerator and in the denominator)

Distance of the library in the map = 0.67 inches (Rounding to two decimal places)