A Valve on a Storage Tank Is Opened for 4 $\ln R = - 0.6155 t + 15.0609$

question 60

Multiple Choice

A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process. The flow rate R (in liters per hour) at time t (in hours) is given by the linear Model $\ln R = - 0.6155 t + 15.0609$ Write the linear model in exponential form.

• A) \(R = - 15.0609 e ^ { - 0.6155 t }\)
• B) \(R = 8.0609 e ^ { - 0.6155 t }\)
• C) \(R = 15.0609 e ^ { - 0.6155 t }\)
• D) \(R = 3,474,287.5695 e ^ { - 0.6155 t }\)
• E) \(R = 3,474,287.5695 e ^ { 0.6155 t }\)

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Definitions:

Smoothing Constant

A parameter used in exponential smoothing methods for time series data to control the degree of smoothing applied to the data.

Forecast

A prediction or estimate of future events or trends, often based on current data and analysis.

Number of Forecast Values

The quantity of data points projected or predicted for future periods based on historical trends and analysis.

Smoothing Constant

A parameter used in exponential smoothing methods to apply different weights to past observations, typically ranging between 0 and 1.