Problem preview
S-ID.7 Warmup M1-057-A05-V01

Interpret slope and intercept of a linear model in the data context.

Compare the y-intercepts of two linear models in context

Problem

In the context of starting costs, compare these \(\text{two}~y\text{-}\text{intercepts}\): Model A has \(y\text{-}\text{intercept}\) \(40~\text{dollars}\), and Model B has \(y\text{-}\text{intercept}\) \(25~\text{dollars}\).

Big Picture

What this problem is really about

Comparing intercepts means comparing both models at the shared input of zero. Confirm that zero has the same contextual meaning, identify which predicted starting value is larger, and subtract the smaller intercept from the larger so the comparison reports a difference rather than merely repeating one starting value.

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Four variants of this problem type
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 the y-intercepts of two linear models in context