Question

The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you would travel between each the Elm and Symphony Stations. Round your answer to the nearest tenth of a mile. The distance between the Elm and Symphony Stations is how many miles?

Answer 1

Distance between 2 stations= 8.94 miles

Explanation:

The coordinates of Symphony Station is given by:

Symphony Station: (x₁ , y₁) : (1,2)

The coordinates of Elm station is given by:

Elm Station: (x₂ ,y₂) : (-3,-6)

We know that the distance formula can be used to find distance between these 2 points. Distance formula is given as

d= √((x₂ - x₁)² + (y₂ - y₁) ²)

Substitute values

d= √((-3 - 1)² + (-6 - 2) ²)

d= √((-4)²+(-8)²)

d= √(16+64)

d=√80

d= 8.94 miles