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National Park Road Trip: Model Audit

Analyze national park road-trip models using equations, tables, and graphs to distinguish linear functions from nonlinear functions.

Grade 8MathInteractive · Printable

Aligned to8.F.A.3

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 8
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

Students interpret y = mx + b as a function with a straight-line graph.
Students classify functions using equations, tables, graphs, and descriptions.
Students justify why a road-trip distance function is nonlinear.

How to use

Use after introducing y = mx + b. Have students work independently, then compare the evidence they used to classify each model.

Curriculum

Common Core standard covered

8.F.A.3

Read y = mx + b as a linear function whose graph is a straight line, and give examples of functions that are not linear.

Preview

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Name Date

National Park Road Trip: Model Audit

Test which trip models have straight-line graphs.

Check the Route Screen

Use the graphs and rules to check the trip-planning models. Choose one answer unless directed otherwise.

A national park route screen converts a signed schedule adjustment x into a signed arrival adjustment y, both in minutes. The intended rule is y = x + 1. Which plotted point does not belong to this straight-line model?

A. Point R does not belong.
B. Point S does not belong.
C. Point Q does not belong.
D. Point P does not belong.

For one road segment, y = 0.2x + 8 models total travel time y in minutes for x miles, including a stop before driving. Which description fits its graph?