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Answer :
Final answer:
To complete the table, we calculate the distances run by Zeke and Niko at various times based on their speeds and Niko's head start. By 2 seconds, Zeke has run 4 yards, and Niko has run 13 yards. At 6 seconds, Zeke has run 12 yards, and Niko has run 15 yards.
Explanation:
We are tasked with completing a table showing the distances that Zeke and Niko have run from the starting line at various times.
Zeke runs at 2 yards per second (2 yd/s), and Niko gets a 12-yard head start but only runs at a rate of 1 yard every 2 seconds (0.5 yd/s).
At time x = 0 seconds, Zeke is at the start line (0 yards), and Niko has his 12-yard head start.
For x = 2 seconds, Zeke has covered 2 yd/s × 2 s = 4 yards. Niko has covered his initial 12 yards plus 0.5 yd/s × 2 s = 1 yard, so now he is 13 yards from the start line.
As x = 6 seconds, Zeke's distance is 2 yd/s × 6 s = 12 yards. Niko's distance will be his initial 12 yards plus 0.5 yd/s × 6 s = 3 yards, totaling 15 yards from the start line.
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Rewritten by : Barada
Answer: Zeke will catch up with Niko at 16 yards from the start line, y = 16 yards.
Zeke will catch up Niko after 8 seconds, x = 8 seconds.
Step-by-step explanation: i) distance to be run = 30 yards
ii) Niko has a head start of 12 yards.
iii) speed of Zeke = 2 yards / second
iv) speed of Niko = 1 yard every 2 seconds = 0.5 yard / second
v) x represents the number of seconds they have been racing.
vi) y represents the distance from the start line.
vii) the time at which Zeke catches up with Niko will be given by
Therefore 2y - 24 = 0.5y 1.5 y = 24 y = 24 / 1.5 = 16 yards
Therefore x = 16 /2 = 8 seconds
