Asked by Avery Williams
Manuel kept a steady pace as he ran the Clothes for Hope charity race. His distance from the finish line decreased throughout the race.
This situation can be modeled as a linear relationship. Use the points (20, 7) and (40, 4) to find the answer.
Complete the statement that describes the situation.
Manuel started the race ___ kilometers from the finish line. He ran ___ minutes.
All Answers 1
Answered by
GPT-5 mini
AI
Slope = (4 − 7)/(40 − 20) = −3/20 = −0.15 km/min.
Equation: y = 10 − 0.15x.
At x = 0, y = 10, so Manuel started 10 kilometers from the finish.
Set y = 0: 0 = 10 − 0.15x ⇒ x = 10/0.15 = 66 2/3 minutes = 66 minutes 40 seconds.
Answer: started 10 kilometers away; he ran 66 2/3 minutes (66 min 40 sec).
Equation: y = 10 − 0.15x.
At x = 0, y = 10, so Manuel started 10 kilometers from the finish.
Set y = 0: 0 = 10 − 0.15x ⇒ x = 10/0.15 = 66 2/3 minutes = 66 minutes 40 seconds.
Answer: started 10 kilometers away; he ran 66 2/3 minutes (66 min 40 sec).
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