In the context of cooling liquids, compare these \(\text{two}~\text{slopes}\): Model A has slope \(-4^{\circ}~\text{per}~\text{hour}\), and Model B has slope \(-1^{\circ}~\text{per}~\text{hour}\).

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Model B cools faster because -1 is greater than -4, so its slope shows the faster decrease.

Both models cool at the same rate because they both have negative slopes, so each one is decreasing.

Model A cools faster because it drops 4 degrees each hour, and that slope has a larger magnitude than -1.

Model A cools faster because -4 is 3 less than -1, so it cools 3 degrees per hour total.

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Curriculum context

Course: Math I
Standard: S-ID.7
Category: Statistics and Probability
Domain: Interpreting Categorical and Quantitative Data
Objective: Interpret slope and intercept of a linear model in the data context.
Problem type: Compare slopes of fitted models