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Solving linear systems by graphing

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Intros
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Lessons
  1. What is interpolation and extrapolation?
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Examples
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Lessons
  1. A train travels at a speed of 120km/h. The equation that represents the relationship of distance (d) and time (t) is d=120t.
    1. Plot the equation on a graph.
    2. Calculate the distance that the train travels in 4.5 hours.
  2. The graph shows the relationship of the temperature of water, c, and time, t, as the water boils.
    Solving linear equations by graphing
    1. What is the equation for the relationship?
    2. Find the temperature of the water after 7 minutes of boiling.
    3. Determine whether it is appropriate to interpolate or extrapolate values on this graph? Why?
  3. Plot the graph for each set of values. Then, find the equation that represents each relationship.

    1. x

      Y

      -2

      -3

      -1

      0

      0

      3

      1

      6

      2

      9

    2. x

      Y

      -2

      3

      -1

      1

      0

      -1

      1

      -3

      2

      -5

    3. x

      Y

      -2

      -14

      -1

      -10

      0

      -6

      1

      -2

      2

      2

    4. x

      Y

      -2

      −13 - \frac{1}{3}

      -1

      13\frac{1}{3}

      0

      11

      1

      53\frac{5}{3}

      2

      73\frac{7}{3}

  4. Mark ran a marathon. Below is the record of how he did.

    Time, t (h)

    Distance, d (km)

    0.5

    4.2

    0.8

    6.7

    1.3

    10.9

    2.9

    24.4

    3.5

    29.4

    4.2

    35.3

    1. Graph the data above.
    2. How far did Mark run in the first 3 hours?
    3. Determine the equation that represents the relationship.
    4. What was Mark's average speed? Did you make any assumptions?