Problem preview
F-LE.1.b Warmup M1-029-A02-V01

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

Verify constant rate of change with unequal input gaps

Problem

Use the displayed \(x\text{-}y\) table. Compute the signed interval rate or rates and answer the constant-rate question.

Big Picture

What this problem is really about

Unequal input gaps can create unequal raw output changes even when the underlying rate is constant. We’ll normalize each interval separately by dividing its signed output change by its own input width. Comparing those quotients, rather than the numerators alone, gives a fair test of constant rate.

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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
Verify constant rate of change with unequal input gaps