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Math Help - average rate of change

  1. #1
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    average rate of change

    The average rate of change of a functional between 2 and 7 is equal to 1/2. If f(2)=12, determine f(7). Provide a possible function for f.
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  2. #2
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    Average rate of change is \frac{f(b)-f(a)}{b-a}

    We have \frac{f(7)-f(2)}{5}=\frac{1}{2}

    \frac{f(7)-12}{5}=\frac{1}{2}

    Now, what is f(7)?.
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  3. #3
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    thanks for your answer galactus, but unforunately it's not what I'm looking for because I need to use an equation relating to calculus. I'm not sure if this is the equation.... lim f(x+h)-f(x) /h [what would x and h be??]
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  4. #4
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    Quote Originally Posted by blague View Post
    thanks for your answer galactus, but unforunately it's not what I'm looking for because I need to use an equation relating to calculus. I'm not sure if this is the equation.... lim f(x+h)-f(x) /h [what would x and h be??]
    The limit formula you have is \lim_{h\to 0} \frac{f(x+h)-f(x)}{h} and it's for instant rate of change, not average rate of change.
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