Final answer:
Noah's distance is represented by the blue line, while Diego's distance is represented by the red line.
Step-by-step explanation:
To represent the distance traveled by Noah and Diego, we need to choose the colors for each line. Since Noah was 17 meters from the ticket booth after 8 seconds, we can draw a blue line to represent his distance.
Similarly, since Diego was 43 meters away from the ticket booth after 8 seconds, we can draw a red line to represent his distance.
Given the distances Noah and Diego have traveled in a set time, we can calculate their speeds and graphically represent their movements as lines of different colors.
To solve this, we first determine the speed of each person using the formula speed = distance/time.
For Noah, his speed is 17 meters in 8 seconds, which equals 2.125 m/s. For Diego, his speed is 43 meters in 8 seconds, which equals 5.375 m/s.
Graphically, if we plot time on the x-axis and distance on the y-axis, we would choose two different colored lines to represent their distances from the ticket booth over time.
Therefore, the line with the gentler slope represents Noah's travel, while the steeper line represents Diego's travel, corresponding to their respective speeds.