Problem preview

S-ID.6.a Warmup M1-054-A13-V03

Use scatter plots to represent two quantitative variables and fit functions to model relationships.

Interpret fitted model behavior in context

Problem

For \(T(h)=T_{0}-2.5h\) with \(h\) in hours and \(T\) in degrees Celsius, interpret the coefficient \(-2.5\). State the parameter type, units, \(\text{one}\text{-}\text{hour}\) difference relation, and contextual meaning.

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parameter=slope−2.5; units=hours per degree Celsius; relation=h increases2.5 for each1°C; meaning=2.5 hours per degree

parameter=slope−2.5; units=degrees Celsius; relation=T(h+1)=−2.5°C; meaning=temperature is always−2.5°C

slope=-2.5; units=degrees Celsius per hour; relation=T(h+1)-T(h)=-2.5°C; meaning=predicted temperature decreases about2.5°C each hour

parameter=slope−2.5; units=degrees Celsius per hour; relation=T(h+1)−T(h)=+2.5°C; meaning=temperature increases2.5°C each hour

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Curriculum context

Course: Math I
Standard: S-ID.6.a
Category: Statistics and Probability
Domain: Interpreting Categorical and Quantitative Data
Objective: Use scatter plots to represent two quantitative variables and fit functions to model relationships.
Problem type: Interpret fitted model behavior in context