Q38. - Algebra 2

Question

TRAVEL For Exercises 38 and 39, use the figure at the right, where a grid is superimposed on a map of a portion of the state of Alabama.

 About how far is it from Birmingham to Montgomery if each unit on the grid represents 40 miles?

Step-by-Step Solution

Answer

The distance is 89.4427191 miles.

Step 1.Given

The given grid is:

Step 2. To determine

About how far is it from Birmingham to Montgomery if each unit on the grid represents 40 miles? 

Step-3 – Calculation

From the graph:

The points of Birmingham and Montgomery has the distance between the x-coordinates = 1 unit (approx.)

And the distance between the x-coordinates = 2 units (approx.).

So, the distance between the points is: $\sqrt{1^2+2^2}=\sqrt{1+4}=\sqrt{5}$ units.

Given: 1 unit = 40 miles.

So,$\sqrt{5}$ units = 89.4427191 miles.

Hence, the distance is 89.4427191 miles.