Question

use the map shown below to find the distance between cities a and b to the nearest tenth. the distance is \boxed{}. (round to the nearest tenth as needed.)

Explanation:

Step1: Identify coordinates of A and B

From the graph, \( A(0, 0) \), \( B(2, 3) \) (assuming each grid is 1 unit, A is at (0,0), B is 2 units right and 3 units up).

Step2: Apply distance formula

Distance formula: \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
Substitute \( x_1 = 0, y_1 = 0, x_2 = 2, y_2 = 3 \):
\( d = \sqrt{(2 - 0)^2 + (3 - 0)^2} = \sqrt{4 + 9} = \sqrt{13} \approx 3.6 \)

Answer:

3.6