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Bus Stop:
Seth is comparing scenarios to determine which
starting point he should get dropped off at to get him to
school faster. Seth's house is 17 miles from school.
Distance (miles)
In which scenario does Seth start closer to school?
In which scenario does Seth travel at a greater speed,
and what was the rate?
Friend's
House:
12 18
Time (minutes)
Time (min) Distance (mi)
3
4
6
6
9
8

Bus Stop Seth is comparing scenarios to determine which starting point he should get dropped off at to get him to school faster Seths house is 17 miles from sch class=

Respuesta :

Answer:

In which scenario does Seth start closer to school?

Bus Stop, 5 miles from home

In which scenario does Seth travel at a greater speed, and what was the rate?

Friends house, 2 miles every 3 minutes.

Step-by-step explanation:

I already took the assignment, good luck

Using linear function concepts, it is found that:

  • Seth starts closer to the school in the bus.
  • He travels at a greater speed from his friend's house, at a rate of 0.6667 miles per minute, that is, 2 miles in 3 minutes.

  • From the graph of the bus, when he takes the bus, he is 13 miles from the school, as he starts at position 4 and ends at 17.
  • At his friend house, he is 13 miles from the school only after 3 minutes, which means that the bus will be closer.

  • The scenario with the greater speed is the one with the higher slope, that is, higher rate of change, which is the change in distance divided by the change in time.
  • In the bus, change of 13 miles in 24 minutes, thus:

[tex]m_b = \frac{13}{24} = 0.5417[/tex]

  • From the friend's house, change of 2 miles in 3 minutes, thus:

[tex]m_f = \frac{2}{3} = 0.6667[/tex]

Thus, he travels at a greater speed from his friend's house, at a rate of 0.6667 miles per minute, that is, 2 miles in 3 minutes.

A similar problem is given at https://brainly.com/question/16302622

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