the units of the subway map below are in miles. suppose the routes between stations are straight. find the approximate distance a passenger would travel between stations j and k. the distance from station j to station k is approximately \boxed{} miles (round to the nearest tenth as needed.)

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Accepted Answer

# Explanation:
## Step1: Find coordinates of points J and K
From the graph, assume coordinates of $K(-6,1)$ and $J(8,-1)$ (assuming each grid - square is 1 unit).
## Step2: Use the distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Here $x_1=-6,y_1 = 1,x_2=8,y_2=-1$.
$$
\begin{align*}
d&=\sqrt{(8-(-6))^2+(-1 - 1)^2}\
&=\sqrt{(8 + 6)^2+(-2)^2}\
&=\sqrt{14^2+4}\
&=\sqrt{196 + 4}\
&=\sqrt{200}\
&=10\sqrt{2}\approx14.1
\end{align*}
$$

# Answer:
$14.1$

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QUESTION IMAGE

Question

Explanation:

Step1: Find coordinates of points J and K

Step2: Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Answer: