Recognize constant percent growth or decay as evidence for an exponential model.
Identify an invalid exponential model for percent growth
Problem
A quantity starts at \(50\) and grows \(4\%~\text{weekly}\). Analyze the candidate models \(50\cdot~1.04^{x}\), \(50\cdot~4^{x}\), and \(50(1~+~0.04)^{x}\). Identify the equivalent valid models and the invalid model with its error, then calculate both \(\text{one}\text{-}\text{interval}\) predictions.
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