Problem preview
F-LE.1.b Warmup M1-029-A09-V01

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

Compare constant rates from different representations

Problem

Compare the constant rate of \(f(x)=5x+2\) with the rate shown by the displayed table.

Big Picture

What this problem is really about

Rates from different representations must be converted to the same output-per-input form before they can be compared. We’ll read one rate from the equation’s input coefficient and calculate the other from the table’s coordinate changes. Once both quantities describe slope, their signs and magnitudes can be compared directly.

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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
Compare constant rates from different representations