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Ferry Crossings: Time and Fare Links worksheet preview

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Ferry Crossings: Time and Fare Links

Model ferry crossing times and group fares using two variables. Connect equations, tables, graphs, and real travel decisions.

Grade 6MathInteractive · Printable

Aligned to6.EE.C.9

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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 6
Subject
Math
Question types
Fill in the blank, Multiple choice, Circle the answer, Short answer, Drawing

About this worksheet

What students practice

  • Students write equations relating ferry crossing times and fares to independent quantities.
  • Students connect two-variable equations with tables and graphs.
  • Students use relationships between changing quantities to make travel decisions.

How to use

Have students work through both ferry models, showing calculations beside the questions. Review the final explanation using differences between table entries.

Curriculum

Common Core standard covered

6.EE.C.9

Use two variables for quantities that change together, write an equation linking them, and connect it to tables and graphs.

Preview

OwlSheets.com

Name Date

Ferry Crossings: Time and Fare Links

Connect changing quantities with equations, tables, and graphs.

1. Model Crossing Times

A ferry company estimates crossing time using route distance. Each estimate includes 4 minutes for docking plus 2 minutes for every kilometer traveled. Let d be route distance in kilometers and t be total crossing time in minutes.

1.
Complete an equation that works for every route in this model.

t =  d +  

2.
The company chooses a route distance and then calculates its estimated crossing time. Which statement describes the relationship?
  • A. Distance is independent, and crossing time is dependent.
  • B. Distance and crossing time are both fixed quantities.
  • C. Distance and crossing time are both independent.
  • D. Distance is dependent, and crossing time is independent.
3.
A schedule editor checks these proposed records. Select every record that follows the crossing-time equation.
Proposed Crossing Records
RouteDistance, d (km)Time, t (min)
Harbor1.57
Island310
Channel510
Bay6.517
Inlet722

HarborIslandChannelBayInlet

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