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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
Use two variables for quantities that change together, write an equation linking them, and connect it to tables and graphs.
Preview
OwlSheets.com
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.
t = d +
- 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.
| Route | Distance, d (km) | Time, t (min) |
|---|---|---|
| Harbor | 1.5 | 7 |
| Island | 3 | 10 |
| Channel | 5 | 10 |
| Bay | 6.5 | 17 |
| Inlet | 7 | 22 |
HarborIslandChannelBayInlet
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