Question

using the paths shown, how long is the shortest route from livingston to booneville?

Explanation:

Step1: Identify possible routes

There are two possible routes from Livingston to Booneville: Livingston - Hillsboro - Booneville and Livingston - Hillsboro - Middletown - Booneville.

Step2: Calculate length of first route

The length of the Livingston - Hillsboro - Booneville route is $5.1+8.9 = 14$ mi.

Step3: Calculate length of second route

The length of the Livingston - Hillsboro - Middletown - Booneville route is $5.1 + 5.1+4.8=15$ mi.

Step4: Compare lengths

Since $14<15$, the shortest route is Livingston - Hillsboro - Booneville.

Answer:

$14$