Question

Kimmy walks to school each day. She uses a map that is drawn on a standard (x,y) coordinate plane to see how far she walks. On the map, one coordinate unit represents 100 feet. Her house is located at (8, 4) and the school entrance is located at (-4, -2). Each day, she walks directly from her house to the school entrance. ​ ​To the nearest foot, what is the distance Kimmy walks to school each day?

Answer 1

Answer:

1342 feet

Step-by-step explanation:

Kimmy's house is located at (8, 4)

The school entrance is located at (-4, -2).

To find the distance Kimmy walks to school every day, we use the Distance formula:

$\text{Distance =}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Where $(x_1,y_1)=(8, 4), and (x_2,y_2)=(-4, -2).$

$\text{Distance=}\sqrt{(-4-8)^2+(-2-4)^2}\\=\sqrt{(-12)^2+(-6)^2}\\=\sqrt{144+36}\\=\sqrt{180} \\=13.42 Units\\Since 1 coordinate unit represents 100 feet.\\\\Distance walked by Kimmy to school every day\\=13.42*100 feet\\=1342 feet (to the nearest foot)$