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Alina
16 days ago
11

Follow this link to view Jamie’s work. Critique Jamie’s work by explaining the reasonableness of the scenario and the accuracy o

f the two parts of the graph he described . For any portion of Jamie’s response in which he has made an error, provide and explain an alternative response. To enhance Jamie’s explanation, describe both sections of the piecewise function using linear equations. Include any limits to the domain.

Mathematics
1 answer:
PIT_PIT [9.1K]16 days ago
7 0

Answer:

Refer to the explanation below

Step-by-step explanation:

The graph can represent a relay race scenario.

Jamie describes a situation that corresponds to the piecewise function illustrated in the graph.

On the graph, the x-axis denotes time in minutes, while the y-axis shows distance in miles.

The initial segment of the graph is a line that extends from the origin to the point (12, 1), with the second segment going from (12, 1) to (20, 2).

1. A runner starts the race and maintains a consistent speed for 1 minute.

  • This statement is erroneous as it identifies the incorrect axis.

It should state: a runner initiates the race and runs consistently for 12 minutes, covering 1 mile.

The equation for this segment:

  • y = mx + b
  • b = 0 since it originates from the starting point.
  • m = 1/12
  • y = 1/12x
  • x = [0, 12], y = [0, 1]

2. Then, his partner takes over and runs faster at a steady pace for another 1 minute.

  • Once again, as mentioned earlier, this misrepresents the axis.

It should say: his partner then continues and runs at a constant, quicker pace for an additional 8 minutes, finishing the final mile of the race.

The equation for this segment:

  • b = 1, serving as the initial point
  • m = (2-1)/(20-12) = 1/8
  • y = 1/8x + 1
  • x = (12, 20], y = (1, 2]

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