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 Elm and Oak stations. Write your answer to the nearest tenth of a mile.

Answer 1

4.5 miles

Explanation:

On the graph,

• Elm station is located at (-3,-6)
• Oak station is located at (-1,-2)

We use the distance formula to find the distance between Elm and Oak.

`\text{Distance Formula=}√((x_2-x_1)^2+(y_2-y_1)^2) \\(x_1,y_1)=(-3,-6), (x_2,y_2)=(-1,-2)\\Distance=√((-1-(-3))^2+((-2)-(-6))^2) \\=√((-1+3)^2+(-2+6)^2) \\=√(2^2+4^2)\\=√(20)$ Units \\ Distance =4.5 mile (to the nearest tenth of a mile.)`