Question

aidan is participating in an 8-mile walk for his favorite charity. the walk organizers plotted the course on a coordinate map. the starting point is at (3,1), and the ending point is at (3,9). theres a water station at (3,7) to make sure the walkers stay hydrated. plot the starting point, ending point, and water station on the map.

Explanation:

Step 1: Recall Coordinate Plotting Rules

In a coordinate plane, a point \((x,y)\) is plotted by first moving \(x\) units along the \(x\)-axis (horizontal) and then \(y\) units along the \(y\)-axis (vertical).

Step 2: Plot \((3,1)\)

For \(x = 3\), move 3 units right from the origin \((0,0)\) on the \(x\)-axis. For \(y=1\), move 1 unit up from the \(x\)-axis position. Mark the intersection.

Step 3: Plot \((3,9)\)

For \(x = 3\), move 3 units right on the \(x\)-axis. For \(y = 9\), move 9 units up from the \(x\)-axis position. Mark the intersection.

Step 4: Plot \((3,7)\)

For \(x = 3\), move 3 units right on the \(x\)-axis. For \(y=7\), move 7 units up from the \(x\)-axis position. Mark the intersection.

Answer:

To plot the points:

• For the starting point \((3,1)\): Since the \(x\)-coordinate is \(3\) and the \(y\)-coordinate is \(1\), move 3 units to the right along the \(x\)-axis (from the origin \((0,0)\)) and then 1 unit up along the \(y\)-axis. Mark this point.
• For the ending point \((3,9)\): With \(x = 3\) and \(y=9\), move 3 units right on the \(x\)-axis and 9 units up on the \(y\)-axis. Mark this point.
• For the water station \((3,7)\): Given \(x = 3\) and \(y = 7\), move 3 units right on the \(x\)-axis and 7 units up on the \(y\)-axis. Mark this point.

(Note: Since the graph is partially shown, on a full coordinate grid, these points will lie on the vertical line \(x = 3\) at different \(y\)-levels. The starting point is the lowest (\(y = 1\)), then the water station at \(y=7\), and the ending point at \(y = 9\) among these three points on \(x = 3\).)