the number of words per minute that an average person can type is given by the function w(t)=50…

the number of words per minute that an average person can type is given by the function w(t)=50 - 22e^(-0.3t), where t is the time in months after the beginning of a typing class. complete parts (a) through (d) below. (a) find w(0). w(0)= (round to the nearest whole number as needed.)

the number of words per minute that an average person can type is given by the function w(t)=50 - 22e^(-0.3t), where t is the time in months after the beginning of a typing class. complete parts (a) through (d) below. (a) find w(0). w(0)= (round to the nearest whole number as needed.)

Answer

Explanation:

Step1: Substitute t = 0

Substitute (t = 0) into (W(t)=50 - 22e^{-0.3t}). We get (W(0)=50 - 22e^{-0.3\times0}).

Step2: Calculate the exponential part

Since (e^{-0.3\times0}=e^{0}), and by the property of exponents (e^{0}=1), then (W(0)=50 - 22\times1).

Step3: Perform subtraction

(W(0)=50 - 22=28).

Answer:

28