A family wishes to determine the distance from their home to the nearest park. On a coordinate grid, the house sits at open paren 0 comma 0 close paren , and the park at open paren 16 comma 11 close paren Using 1 unit is equal to 10 yards , which vector represents the path from the house to the park, and what is the actual distance between them?

Subtract the house coordinates from the park coordinates: (16 − 0, 11 − 0) = (16, 11), so the path vector has components 16 and 11. Its length is √(16² + 11²) = √377 ≈ 19.416 grid units. Since each unit represents 10 yards, the actual distance is about 194.16 yards, matching the choice with components 16 and 11 and distance 194.16 yards.

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