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City Trip Planner: Rule Audit

Evaluate city transit planner rules, interpret input-output graphs, and distinguish a function from an incomplete or conflicting lookup.

Grade 8MathInteractive · Printable

Aligned to8.F.A.1

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
13 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 determine whether a rule assigns exactly one output to each allowed input.
Students interpret a function's graph as its set of input-output pairs.
Students distinguish missing outputs from conflicting outputs in a specified input set.

How to use

Use after introducing inputs and outputs. Have students check both output uniqueness and coverage of allowed inputs, then discuss the final explanation.

Curriculum

Common Core standard covered

8.F.A.1

Understand a function as a rule giving exactly one output for each input, with its graph as the set of input-output pairs.

Preview

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Name Date

City Trip Planner: Rule Audit

Check how bus and subway rules assign outputs to inputs.

Planner Rules

For each rule, check what the input represents and whether it receives exactly one output.

A trip planner has several possible routes for every trip request. Which proposed rule defines a function for all trip requests?

A. Assign each request both its shortest and longest travel times.
B. Assign each request the smallest travel time among its routes.
C. Assign each request every route that takes under an hour.
D. Assign each request every route that uses a subway.

The input is a station code, and the output is a subway line serving that station. Select every station code that has conflicting outputs in this table.