Question

The units of the subway map below are in miles. Suppose the routes between stations are straight, find the distance you would travel between the Jackson and Symphony stations.Write your answer to the nearest tenth of a mile.

Answer 1

Distance between Jackson and Symphony stations is 2.2 miles.

Explanation:

From the given map,

Location of two stations can be represented by the ordered pairs Jackson(2, 4) and Symphony(1, 2)

Every unit of the map represents the distance of 1 mile.

Distance between two points is measured by the formula,

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}`

Therefore, distance between the given stations will be,

d =
`√((2-1)^2+(4-2)^2)`

=
`√(1+4)`

=
`√(5)`

= 2.236

≈ 2.2 miles

Distance between Jackson and Symphony stations is 2.2 miles.