Problem preview
S-ID.6.c Warmup M1-056-A07-V01

Fit a linear function to data when a scatter plot suggests a linear association.

Interpret intercept in context

Problem

Interpret the \(y\text{-}\text{intercept}\) of \(C(x)=12+4x~\text{dollars}\) for \(x\ge~0\) items.

Big Picture

What this problem is really about

An intercept can be algebraically defined yet contextually misleading if zero input is excluded or unrealistic. First check whether zero belongs to the stated domain; if it does, interpret the model’s value there as a baseline prediction, with any stronger real-world claim requiring support from the context.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
S-ID.6.c
Category
Statistics and Probability
Domain
Interpreting Categorical and Quantitative Data
Objective
Fit a linear function to data when a scatter plot suggests a linear association.
Problem type
Interpret intercept in context