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College Math

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The "learning curve" describes the rate at which a person learns certain tasks. If a person sets a goal of typing N words per minute (wpm), the length of time t (in days) to achieve this goal is given by the following formula. t=62.5ln(1-N/80)

(a) According to this formula, what is the maximum number of words per minute?

(b) Solve for N.


  • College Math - typo? - ,

    ln(x) is only defined for x>0, so 1-N/80 > 0
    That is, N<80

    The problem here is that 1-N/80 < 1, so ln(1-N/80) is negative. But, t must be positive.


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