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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- Aug 10th 2010, 08:55 PMbobsanchezChecking 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? - Aug 10th 2010, 09:20 PMVlasev
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.