Question

The location of an ant from a tree was 3 meters west (negative direction). The ant walked towards the tree at a constant rate and reached the tree in 2 minutes. If y represents the location of the ant from the tree, in meters, and x represents the time in minutes, which graph best represents this situation? graph of line going through ordered pairs negative 3, 0 and 0, 2 graph of line going through ordered pairs 0, negative 3 and 2, 0 graph of line going through ordered pairs 0, 2 and 3, 0 graph of line going through ordered pairs 0, negative 2 and negative 3, 0

Answer 1

Initially, when time is 0 minutes, ant is 3 meters west from the tree.

It is given that x represents the time and y represents the location of the ant from the tree.

So, the initial position of the ant is (0, -3).

After 2 minutes, the ant reaches the tree.

So, after 2 minutes, the distance of the ant from the tree is zero.

Therefore, the final point of the ant is at (2, 0).

Hence, the graph is the graph of line going through ordered pairs 0, negative 3 and 2,0.

Answer 2

y represents location, and it says the ant was 3 meters away in the negative direction to begin with. So, make sure the beginning of the line segment is at -3 on the y-axis. Next, it says to measure time in minutes with x, and it took the ant 2 minutes to get to the tree. So the end of the line segment would be at 2 on the x-axis