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Math Help - Growth Rate

  1. #1
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    Growth Rate

    Time(min) Length
    0 12.5mm
    5 30mm
    10 50mm



    How can i work out the growth rate per minute?
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  2. #2
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    Grandad's Avatar
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    Hello el123
    Quote Originally Posted by el123 View Post
    Time(min) Length
    0 12.5mm
    5 30mm
    10 50mm



    How can i work out the growth rate per minute?
    With more data, you could plot a graph, and draw tangents to the graph at the points where you wanted the growth rate. However, with this small amount of data, you can only work out average rates - there's not really enough data to plot a graph.

    In the first 5 minutes the length has increased by 30-12.5 = 17.5 mm. So the average rate during this period is \frac{17.5}{5}= 3.5 mm per minute.

    In the second 5 minutes, the length has increased by ...? So the average growth rate is ...?

    And, overall, in 10 minutes the average growth rate is ... ?

    Can you complete the calculations?

    Grandad
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