Question

the graph shows the location of the entrance to a state park. each unit on the graph represents 1 kilometer.
rodrigo uses the graph to locate a waterfall. the waterfall is located 3 kilometers to the left and 4 kilometers down from the park entrance. rodrigo says the ordered pair for the waterfall is (3, 9).
use the drop - down menus to explain rodrigo’s error.
graph of a coordinate plane with park entrance marked at a point, and a dropdown menu question about choosing directions and the correct ordered pair for the waterfall

Explanation:

Step1: Identify Park Entrance Coordinate

Assume the park entrance is at \((6, 5)\) (from the graph's "Park Entrance" label, estimating coordinates).

Step2: Analyze Left and Down Movements

• Moving left: decreases the \(x\)-coordinate. 3 units left: \(6 - 3 = 3\) (not 9, so Rodrigo messed up \(x\)-direction).
• Moving down: decreases the \(y\)-coordinate. 4 units down: \(5 - 4 = 1\) (not 9, so \(y\)-direction too).
• Rodrigo likely mixed up left/right (used right instead of left, increasing \(x\)) and up/down (used up instead of down, increasing \(y\)).

Answer:

Rodrigo's error: When moving left (decreases \(x\)), he used right (increases \(x\): \(6 + 3 = 9\)). When moving down (decreases \(y\)), he used up (increases \(y\): \(5 + 4 = 9\)). Correct ordered pair should be \((6 - 3, 5 - 4) = (3, 1)\), not \((9, 9)\).