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# Distance Between Places

ACTMAT-9NYFA8

A group of scouts made a map of their valley floor where their campground is located. The map is formatted as the $xy$ coordinate plane, with the origin $(0,0)$, being Camp Pythagoras.

If Lake Euclid is located at $(5,-3)$ on the map, the General Store is at $(-4,7)$, and each unit on the map represents 0.75 miles in reality, how far is it from the General Store to Lake Euclid?

A

$\text{3.1 miles}$

B

$\text{7.1 miles}$

C

$\text{10.1 miles}$

D

$\text{12.8 miles}$

E

$\text{13.5 miles}$