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
t= -62.5 IN (1- N over 80)
according to this formula, what is the maximum number of words per minute? Round the answer to the nearest whole number.
B) solve for N. N=
I suspect that this is a log question and your IN is actually ln ( the natural logarithm)
so let's try:
t = -62.5 ln(1 - N/80)
or is it
t = -62.5 ln( (1-N)/80)
look at the first of the Related Questions below.
It is the same question and Steve had his doubts about the same question.
To find the maximum number of words per minute, we need to find the value of N that corresponds to the minimum value of t.
In the given equation, t = -62.5 * ln(1 - N/80)
To find the minimum value of t, we need to find the maximum value of (1 - N/80). For this to happen, N/80 should be minimum, which means N should be the maximum possible value.
As we want to round the answer to the nearest whole number, let's start by assuming N = 80.
t = -62.5 * ln(1 - 80/80)
t = -62.5 * ln(1 - 1)
t = -62.5 * ln(0)
Since the natural logarithm of 0 is undefined, we see that N cannot be equal to 80.
Now, let's consider N = 79.
t = -62.5 * ln(1 - 79/80)
t = -62.5 * ln(1 - 0.9875)
t ≈ -62.5 * ln(0.0125)
t ≈ -62.5 * (-4.3819)
t ≈ 273.8688
Hence, setting N = 79, the length of time to achieve the goal (t) is approximately equal to 273.8688.
Since we want to find the maximum number of words per minute rounded to the nearest whole number, we can conclude that the maximum number of words per minute is 79.