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City Trip Planner: Build the Linear Models

Build linear functions for city bus and subway trips. Find and interpret rates and initial values from words, tables, points, and graphs.

Grade 8MathInteractive · Printable

Aligned to8.F.B.4

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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, Short answer

About this worksheet

What students practice

Students construct linear functions from words, two points, tables, and graphs.
Students identify and interpret rates of change and initial values in transit models.
Students use constructed linear functions to make trip-planning predictions.

How to use

Use after introducing y = mx + b. Have students identify the input and output before constructing each model, then discuss what an input of zero means.

Curriculum

Common Core standard covered

8.F.B.4

Write a function for a linear relationship, finding its rate of change and initial value from words, two points, a table, or a graph.

Preview

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Name Date

City Trip Planner: Build the Linear Models

Model bus and subway trips using words, tables, points, and graphs.

Trip Estimates

Treat each relationship as linear within the situation described. Include signs when entering rates.

A planner estimates 7 minutes to walk to a bus stop and wait, followed by 4 minutes per bus stop traveled. Let x be bus stops traveled and y be total trip time in minutes. Which function models the trip?