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Anna kept track of the height of her fast-growing corn. Her records are shown in the table below.


Height (cm)

  1. What is the growth rate of Anna's corn? Is this number always the same?

    Find the difference in height of Anna's corn from day to day to find
    how much her corn has grown in days.

    Anna's corn grows cm every days.
    To find how much Anna's corn grows in day, divide that number by .

    The growth rate of Anna's corn is cm per day.

  2. If you graph the points in this table, will they form a line or a curve? Explain how you know.

    If the growth rate of Anna's corn is constant, as concluded from (a),
    what would a graph with constant growth look like?

    If you need more help, graph the points on graphing paper.
    Let the number of days be on the x-axis and the height in centimeters be on the -axis.

    Since the rate of change is constant, the graph will form a line.

  3. How would the growth rate show in the graph?

    What would the graph look like if the number of days was on the
    -axis, while the height in centimeters was on the -axis?

    If the y-coordinate increases by for every day, the growth
    rate will be represented by the slope of the line.

  4. If Anna harvests the corn when it reaches meters, when will she harvest it?

    meters is equivalent to how many centimeters?

    meters is centimeters. When will the
    height (the -coordinate) reach ?

    Find and use the rule to solve.