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Family Restaurant: Weekly Order Models

Build linear functions for a family restaurant's weekly orders using words, tables, graphs, and pairs of points.

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 find a linear relationship's rate of change and initial value from words, tables, graphs, and two points.
Students write linear functions and use them to make predictions about weekly restaurant orders.

How to use

Use after introducing y = mx + b. Have students show slope calculations on separate paper, then discuss the final model-checking question.

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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Family Restaurant: Weekly Order Models

Build linear functions from kitchen records and ordering plans.

Read the Ordering Records

Each record describes a separate weekly order or kitchen task. Assume each relationship is linear over the stated quantities.

The family restaurant pays for produce cases plus one delivery charge. What does the rate of change in this table mean?

Weekly Produce Delivery
Cases	Total cost ($)
2	27
6	45
10	63

A. Each additional case adds $9 to the total.
B. Each additional case adds $4.50 to the total.
C. Each additional case adds $18 to the total.
D. Each additional case adds $13.50 to the total.

For its weekly prepared-meal orders, the restaurant spends $35 on shared supplies and $8 on ingredients for each order. Let x be orders and y be total cost in dollars. Which function models the cost?

A. y = 43x
B. y = 35x + 8
C. y = 8x + 35
D. y = 8x − 35

Packing the weekly lunch orders takes a fixed setup time plus the same time per order. Packing 3 orders takes 46 minutes; packing 7 orders takes 74 minutes.

What is the initial value of the time function, meaning the setup time before any orders are packed? minutes

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