Question

You are using the map shown to navigate through the city. You decide to walk to the Post Office from your current location at the Community Center. Describe the translation that you will follow. If each grid on the map is 0.05 mile, how far will you travel?

Answer 1

Using translations and proportions, it is found that:

• To go from the Community Center to the Post Office, there is a translation of 2 units left and of 3 units down.

• You will travel 0.18 miles.

Translations are modifications made to the function, when it is shifted up/down, or left/right.

In this problem, to go from the Community Center to the Post Office, there is a translation of 2 units left and of 3 units down.

The distance is the hypotenuse of a right triangle, in which the legs are 2 units and 3 units. Hence, the distance on the coordinate grid is found applying the Pythagorean Theorem:

$d^2 = 2^2 + 3^2$

$d = \sqrt{13}$

$d = 3.606$

Since each grid is 0.05 mile, in miles, the distance is:

$d = 0.05(3.606) = 0.18$

You will travel 0.18 miles.

A similar problem is given at brainly.com/question/4521517