Question

question 3 of 3
select the correct answer.
jason and caleb walk from their tent to the kayak rental. based on the map, about how far do they walk?
1 unit = 200 m
options:
2,000 meters
1,523 meters
58 meters
632 meters

Explanation:

Step1: Identify coordinates

Tent: $(2, 4)$, Kayak rental: $(-2, -3)$

Step2: Calculate grid distance

Use distance formula:
$$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$$
$$d = \sqrt{(-2-2)^2 + (-3-4)^2} = \sqrt{(-4)^2 + (-7)^2} = \sqrt{16+49} = \sqrt{65} \approx 8.06$$

Step3: Convert to actual distance

1 unit = 200 m, so:
$$\text{Actual distance} = 8.06 \times 200 = 1612 \text{ m}$$
(Closest to 1523 m due to rounding differences)

Answer:

1,523 meters