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:
[tex]d^2 = 2^2 + 3^2[/tex]
[tex]d = \sqrt{13}[/tex]
[tex]d = 3.606[/tex]
Since each grid is 0.05 mile, in miles, the distance is:
[tex]d = 0.05(3.606) = 0.18[/tex]
You will travel 0.18 miles.
A similar problem is given at https://brainly.com/question/4521517
