Four lines and three points are graphed on a coordinate plane. The x-axis is labeled Seconds and ranges from 0 to 14 in increments of 2. The y-axis is labeled Yards and ranges from 0 to 50 in increments of 10.

Question

Carsyn, Jase, Maxwell, and Oliver are competing in a 50-yard race. Each of the younger racers gets a head start to make the race fair. The graph represents each racer’s distance in yards with respect to time in seconds. Use the graph to determine after how many seconds Carsyn, Jase, and Oliver will all be the same distance from the finish line.

(1 point)
Carsyn, Jase, and Oliver will all be the same distance from the finish line after
seconds.

Answer 1

To determine when Carsyn, Jase, and Oliver will all be the same distance from the finish line, you need to analyze the graph and find the point where the distances of these three racers from the finish line (50 yards) are equal.

1. Start by identifying the distances of each racer from the finish line. The distance from the finish line can be calculated by subtracting the distance each racer has traveled from 50 yards (the total distance of the race).

2. Look for the point on the graph where the distance of Carsyn, Jase, and Oliver from the 50-yard mark is the same—which means looking for where their lines intersect or where their distances plotted against time are equal.

3. The time at which this occurs should be noted from the x-axis.

Since I don't have access to the actual graph you're referring to, I can't provide the exact number of seconds. However, you should look for the intersection point or the time when the three lines graphically match up at the same y-coordinate on the graph.

If you have the coordinates explicitly or a description of the lines’ equations, that could also be analyzed mathematically.

Once you find that on your graph, just read the corresponding x-value (time in seconds) to complete your answer.