Back to Interpret slope and intercept of a linear model — Problem 3 · Task Set 9

Exercises: Interpret the Slope and Intercept of a Linear Model

Work through each section in order. For every interpretation, write a full sentence about the real situation and include UNITS. Remember: the slope is a rate of change (y-units per x-unit) and the intercept is the predicted value when x = 0 (in y-units) — but the intercept is only meaningful when x = 0 is realistic and near the data.

Grade 9·20 problems·~35 min·Common Core Math - HS Statistics and Probability·group·hss-id-c-7

Work through problems with immediate feedback

Fluency Practice

Interpret each slope or intercept as a sentence with units.

A car's value is modeled by $y = -2000x + 24000$ , where $x$ is age in years and $y$ is value in dollars. Which is the best interpretation of the slope $-2000$ ?

The car loses $\text{\char"0024}2000$ in value for each additional year of age.

There is no relationship between age and value, because the slope is negative.

The car gains $\text{\char"0024}2000$ in value each year.

The car is worth $-\text{\char"0024}2000$ .