To find the total distance traveled, we need to find the distance between each pair of points and then add them together.
The distance formula is given by:
$$
d = \sqrt{{(x2 - x1)^2 + (y2 - y1)^2}}
$$
Using this formula, we can calculate the distance between the points.
Distance between sledding and ice skating:
$$
d_1 = \sqrt{{(2 - 2)^2 + (12 - (-4))^2}} = \sqrt{{(0)^2 + (16)^2}} = \sqrt{{256}} = 16
$$
Distance between ice skating and skiing:
$$
d_2 = \sqrt{{(2 - (-8))^2 + (-4 - (-4))^2}} = \sqrt{{(10)^2 + (0)^2}} = \sqrt{{100}} = 10
$$
Total distance traveled:
$$
d_{total} = d_1 + d_2 = 16 + 10 = 26
$$
Therefore, the total distance traveled between the three locations is 26 units.
The Coordinate Plane Unit Test
11 of 1511 of 15 Items
Question
Use the image to answer the question.
A coordinate grid shows the x-axis ranging from negative 12 to 12 and the y-axis also ranging from negative 12 to 12. Points labeled with winter activities are plotted. Sledding is plotted at left parenthesis 2 comma 12 right parenthesis. Skiing is plotted at left parenthesis negative 8 comma negative 4 right parenthesis, and ice skating is plotted at left parenthesis 2 comma negative 4 right parenthesis.
Shahriyar is at a winter park with his family. They go sledding first, then ice skating, then skiing. What is the total distance traveled between these locations?
(1 point)
$$
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1 answer