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Family Kitchen: Weekly Order Rules

Analyze restaurant order rules, tables, and graphs to understand exactly one output per input and graphs as input-output pairs.

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, Drawing

About this worksheet

What students practice

Students determine whether a rule assigns exactly one output to every allowed input.
Students connect a function's graph to its complete set of input-output pairs.
Students distinguish repeated outputs from inputs assigned different outputs.

How to use

Use after introducing inputs and outputs. Have students complete the graph on paper, then discuss why repeated outputs are allowed.

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

Family Kitchen: Weekly Order Rules

Decide when an order rule is a function and connect rules to graphs.

Rules for Weekly Orders

A function gives exactly one output for each allowed input. Read each rule's input and output carefully.

The Rivera family's restaurant records completed weekly orders. The input is the week number, and the output is the total number of orders. Which statement explains why this table defines a function?

Completed Weekly Orders
Week number	Total orders
1	84
2	96
3	84
4	108

A. It is a function because each week has exactly one order total.
B. It is a function because all order totals exceed the week numbers.
C. It is a function because each order total occurs only once.
D. It is a function because the order totals always increase.

Each completed order has a unique order number, one final price, one pickup time, and at least two different dishes. Select every rule that defines a function for all completed order numbers.

Input an order number; output its final price.Input an order number; output every different dish in that order as a separate output.Input an order number; output its pickup time.Input an order number; output either 1 or 2, chosen freely each time.

Each insulated carrier holds up to 6 meal boxes. The kitchen's rule takes a positive whole-number count of meal boxes as input and gives the smallest number of carriers needed as output.

What output does the rule give for an input of 13 meal boxes? carriers

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