Problem preview
F-LE.1.b Warmup M1-029-A10-V01

Recognize constant rate of change as evidence for a linear model.

Diagnose a nonlinear table

Problem

Analyze the displayed table. Test linearity using interval slopes, identify any stronger pattern and exact model the data support, and state the limits of the evidence.

Big Picture

What this problem is really about

One average slope cannot prove that a table is linear; every interval rate must agree. With equal input gaps confirmed, we’ll calculate all consecutive slopes, then inspect how those slopes themselves change. A stronger difference pattern can suggest another family and exact rule, though a finite table supports that rule only for the displayed data.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
F-LE.1.b
Category
Functions
Domain
Linear, Quadratic, and Exponential Models
Objective
Recognize constant rate of change as evidence for a linear model.
Problem type
Diagnose a nonlinear table