Maths-
General
Easy

Question

Over which of the following time periods is the average growth rate of the sunflower least?

In 1919,H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. Included in the paper were the table and graph above, which show the height h, in centimeters, of a sunflower t days after the sunflower begins to grow.

  1. text  Day  end text 0 text  to Day  end text 21
  2. text  Day  end text 21 text  to Day  end text 42
  3. text  Day  end text 42 text  to Day  end text 63
  4. text  Day  end text 63 text  to Day  end text 84

hintHint:

Here we will calculate the average of all options separately and then analyze it.
Explanation:
  • We have given data of the growth of sunflowers for different time periods.
  • We have to find in which time period, The average growth rate is least.
  • We will calculate the average growth rate of each time period from options and then compare them

The correct answer is: text  Day  end text 63 text  to Day  end text 84


    Step 1 of 2:
    We will check the options one by one
    Option (a)
    D a y 0 text  to  end text D a y 21
    The average growth rate will be
    fraction numerator 67.76 minus 0.00 over denominator 21 minus 0 end fraction
    equals fraction numerator 67.76 over denominator 21 end fraction
    equals 3.22
    Option (b)
    D a y 21 text  to  end text D a y 42
    The average gr owth rate will be
    fraction numerator 169.50 minus 67.76 over denominator 42 minus 21 end fraction
    equals fraction numerator 101.74 over denominator 21 end fraction
    equals 4.844
    Step 2 of 2:
    Option (c)
    D a y 42 text  to  end text D a y 63
    fraction numerator 247.10 minus 169.50 over denominator 63 minus 42 end fraction
    equals fraction numerator 77.6 over denominator 21 end fraction
    equals 3.69
    Option (d)
    text  Day63 to Day  end text 84
    fraction numerator 254.50 minus 247.10 over denominator 84 minus 63 end fraction
    equals fraction numerator 7.4 over denominator 21 end fraction
    equals 0.3523
    Clearly, By comparing we can say that the time period D a y 63 text  to  end text D a y 84 has the least average growth rate.
    Therefore, Option (D) is correct.
    Final answer:
    Hence, the time period D a y 63 text  to  end text D a y 84 has the least average growth rate.
    Thus, Option (d) is correct.

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