Problem preview
S-ID.7 Warmup M1-057-A10-V01

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

Choose the correct interpretation of a model parameter

Problem

For \(C(n)=7n+25\) dollars for \(n\) items, identify and interpret the parameter representing predicted additional cost per extra item.

Big Picture

What this problem is really about

Start by matching the question’s language to a parameter role: “per additional input” calls for slope, while “at zero input” calls for intercept. Then attach output-per-input units to the rate and verify it by comparing predictions at consecutive inputs, where the constant term cancels.

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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
Choose the correct interpretation of a model parameter