Question

carlos likes to bowl. he timed how long it took for his ball to travel the length of an 18-m lane in the bowling alley. he plotted the final distance and time on a line graph. carlos drew a line from this point to the origin of the graph. graph: distance vs. time, x - axis (time (s)): 0, 1, 2, 3, 4; y - axis (distance (m)): 0, 2, 4, 6, 8, 10, 12, 14, 16, 18; line from (0,0) to (3,18), passing through (2,12) how far down the lane was the ball after it had traveled for 2 s?

Explanation:

Step1: Analyze the graph

The graph is a distance - time graph. We need to find the distance when time \(t = 2\) s. By looking at the graph, we can see the relationship between distance and time is linear.

Step2: Find the distance at \(t = 2\) s

From the graph, when the time (x - axis) is \(2\) seconds, we look at the corresponding value on the distance (y - axis). The line passes through the point where \(t = 2\) s and the distance \(d\) can be read from the graph. From the grid, when \(t = 2\) s, the distance \(d=12\) m.

Answer:

The ball was \(12\) meters down the lane after traveling for \(2\) seconds.