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Math Help - Checking a rate of change problem

  1. #1
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    Checking a rate of change problem

    If h' is a child's rate of growth in pounds per year, what expression represents the increase in the child's weight (in pounds) between the years 2 and 5?


    Would I be correct in thinking that h'(5) - h'(2) is the correct expression?
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  2. #2
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    If you want the rate of change of the height of the child between years 5 and 2, it'll be [LaTeX ERROR: Convert failed] .

    If you want the average rate of change of the height between those years, you need to divide the above expression by the number of years that have passed: [LaTeX ERROR: Convert failed]

    Now, the expression you have given, [LaTeX ERROR: Convert failed] is just the amount that the rate of change has changed. That is you are measuring the difference between how fast the child is growing at 5 and at 2 years.
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