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Math Help - Word problem function help!

  1. #1
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    Word problem function help!

    I'm sorry, I didn't even really know what to call this. This is the last question on my homework and I have been at it for about 35 mins. I have gotten nowhere on this one!

    Q: Interpret the sentence as a statement about a function and its derivative. Indicate clearly what the function is, what the variable means, and appropriate units for each; then sketch a possible graph of the function.

    The sentence is: Health care costs continue to rise but at a slower rate than 3 years ago.

    I'm pretty sure that I could get all of the question once I find out what the function is, but I have no idea how to get that! Any help would be greatly appreciated!
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  2. #2
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    Quote Originally Posted by antz215 View Post
    I'm sorry, I didn't even really know what to call this. This is the last question on my homework and I have been at it for about 35 mins. I have gotten nowhere on this one!

    Q: Interpret the sentence as a statement about a function and its derivative. Indicate clearly what the function is, what the variable means, and appropriate units for each; then sketch a possible graph of the function.

    The sentence is: Health care costs continue to rise but at a slower rate than 3 years ago.

    I'm pretty sure that I could get all of the question once I find out what the function is, but I have no idea how to get that! Any help would be greatly appreciated!
    H(t) = Health care cost at time t.
    dH/dt(a) = rate of change of health care costs at time a.

    You will also need to consider d^2H/dt^2(a) since the sentence mentions that the rate itself is "slower."
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  3. #3
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    I think I get it.... I hope :-/ Still a littttle confused.
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