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Phone Plans: One Input, One Bill worksheet preview

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Phone Plans: One Input, One Bill

Analyze phone data plans to identify functions, connect rules to plotted pairs, and check whether each input has exactly one output.

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
  • 14 questions
  • Classroom-ready

Details

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

About this worksheet

What students practice

  • Students determine whether phone-plan rules assign exactly one output to each allowed input.
  • Students connect a function's rule and table to its complete set of graphed input-output pairs.
  • Students explain how conflicting charges affect whether a billing rule defines a function.

How to use

Use after introducing functions and ordered pairs. Have students label inputs and outputs before analyzing each plan, then discuss the final billing error.

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

Phone Plans: One Input, One Bill

Check phone-plan rules, tables, and graphs.

Read the Billing Rules

Each plan is separate unless a question says otherwise. Ignore taxes and fees not stated in the question. GB means gigabytes of data.

1.
The input is monthly data use, and the output is the monthly charge. Which statement correctly interprets the pair (3, 16)?
Meter Plan
Data used (GB)Charge ($)
07
110
316
522
  • A. Using 3 GB produces a $16 charge.
  • B. A $3 charge allows 16 GB of data.
  • C. Using 3 GB adds $16 to the charge.
  • D. Using 16 GB produces a $3 charge.
2.
Each list contains all recorded pairs for a separate plan. Pairs are (data used in GB, charge in dollars). Select every list that defines charge as a function of data used.

(0, 9), (2, 13), (2, 13), (4, 17)(0, 9), (2, 13), (2, 17), (4, 17)(0, 15), (2, 15), (4, 15), (6, 15)(1, 11), (3, 17), (5, 23), (1, 23)

3.
The Steady plan charges $18 for every allowed amount of data use from 0 through 12 GB. Is charge a function of data used?
  • A. No; a function's output must change as its input changes.
  • B. Yes; each allowed data amount gives exactly one charge.
  • C. Yes; every charge must give exactly one data amount.
  • D. No; different data amounts must give different charges.

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