The Following Data Show the Cooling Temperatures of a Freshly

question 72

Multiple Choice

The following data show the cooling temperatures of a freshly brewed cup of coffee after it is poured from the brewing pot into a serving cup. The brewing pot temperature is approximately 180º F. The output for an exponential model, ln(Temp) = β₀ + β₁Time + ε, is below. What is the predicted coffee temperature in half an hour after the brewing?

• A) 164.72
• B) −4.7904
• C) 164.74
• D) 120.42

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Definitions:

Estimate Time

Approximating the duration that a task or activity is expected to take.

Geometric Sequence

A sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the ratio.

Common Ratio

In a geometric sequence, the constant factor between consecutive terms, used to calculate subsequent terms.

Geometric Sequence

A sequence of numbers where each term is found by multiplying the previous term by a constant called the common ratio.