A bus travels at a constant speed. The following table shows the distance the bus travels (in kilometers) over a period of time (in hours):<

Question

A bus travels at a constant speed. The following table shows the distance the bus travels (in kilometers) over a period of time (in hours):

distance (d) 42 252 378
time (t) 0.5 3 4.5
Use complete sentences to describe the relationship represented in the table.
Write an equation using variables that represents the relationship shown in the table.
Use your equation to find how far the bus travels in 6 hours.

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Hưng Khoa 4 years 2021-07-21T23:32:52+00:00 1 Answers 8 views 0

Answers ( )

  1. phucdien
    0
    2021-07-21T23:34:17+00:00
    Reply

    Answer:

    ii. velocity = \frac{distance covered}{time taken}

    ii. Distance covered = 504 kilometres

    Step-by-step explanation:

    i. There is a linear relationship between the distance covered and time taken by the bus. This implies that, as the time taken increases, the distance covered increases respectively. Therefore, bus travels at a uniform or constant velocity during the period considered.

    ii. The equation to represent the relationship among the variables is:

    velocity = \frac{distance covered}{time taken}

    iii. At a time of 6 hours, the bus would have traveled;

    velocity = \frac{distance covered}{time taken}

    84 = \frac{distance}{6}

    distance = 84 x 6

                  = 504

    Distance covered by the bus at 6 hours is 504 kilometres.

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