Question

1. a ship is located 20 miles east and 10 miles north of a dock. this dock represents the origin on a coordinate plane. which statement describes how to plot the ordered pair (20, 10)? start at the origin and then move 20 units right and 10 units down. start at the origin and then move 20 units left and 10 units up. start at the origin and then move 20 units right and 10 units up. start at the origin and then move 20 units left and 10 units down.

Explanation:

Step1: Recall coordinate plane movement

In a coordinate plane, moving right corresponds to a positive change in the x - coordinate, and moving up corresponds to a positive change in the y - coordinate. The origin is \((0,0)\), and the ordered pair is \((20,10)\), where the first number (20) is the x - coordinate and the second number (10) is the y - coordinate.

Step2: Analyze each option

• Option 1: Moving 10 units down is a negative change in the y - coordinate, which does not match the y - coordinate of 10 (positive), so this is incorrect.
• Option 2: Moving 20 units left is a negative change in the x - coordinate, which does not match the x - coordinate of 20 (positive), so this is incorrect.
• Option 3: Moving 20 units right (positive x - direction) and 10 units up (positive y - direction) matches the ordered pair \((20,10)\), so this is correct.
• Option 4: Moving 20 units left (negative x - direction) and 10 units down (negative y - direction) does not match the ordered pair \((20,10)\), so this is incorrect.

Answer:

C. Start at the origin and then move 20 units right and 10 units up. (Note: Assuming the options are labeled A, B, C, D in order, the third option is the correct one. If the original options have labels, use the correct label with the text. Here we assume the third option is labeled as C for illustration, but based on the order, it's the third option in the list: "Start at the origin and then move 20 units right and 10 units up.")