An efficiency expert hired by a manufacturing firm has compiled the following data relating workers' output to their experience: $$\begin{array} { l l l }
\text { Experience (months) } & 0 & 6 \
\text { Output (units per hour) } & 300 & 330
\end{array}$$ The expert believes that the output Q is related to experience t by a function of the form $Q ( t ) = 400 - A e ^ { - k t }$ . Find the function of this form that fits the data. Round numbers to four decimal places, if necessary.

Question

An efficiency expert hired by a manufacturing firm has compiled the following data relating workers' output to their experience: $$\begin{array} { l l l } 
\text { Experience (months) } & 0 & 6 \
\text { Output (units per hour) } & 300 & 330
\end{array}$$ The expert believes that the output Q is related to experience t by a function of the form $Q ( t ) = 400 - A e ^ { - k t }$ . Find the function of this form that fits the data. Round numbers to four decimal places, if necessary.

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The Answer of An efficiency expert hired by a manufacturing firm has compiled the following data relating workers' output to their experience: $$\begin{array} { l l l } 
\text { Experience (months) } & 0 & 6 \
\text { Output (units per hour) } & 300 & 330
\end{array}$$ The expert believes that the output Q is related to experience t by a function of the form $Q ( t ) = 400 - A e ^ { - k t }$ . Find the function of this form that fits the data. Round numbers to four decimal places, if necessary.

An Efficiency Expert Hired by a Manufacturing Firm Has Compiled Experience (months) 06 Output (units per hour) 300330\begin{array} { l l l } \text { Experience (months) } & 0 & 6 \\\text { Output (units per hour) } & 300 & 330\end{array} Experience (months) Output (units per hour) ​0300​6330​

An Efficiency Expert Hired by a Manufacturing Firm Has Compiled $\begin{array} { l l l } \text { Experience (months) } & 0 & 6 \\\text { Output (units per hour) } & 300 & 330\end{array}$