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Student Opinions: Survey Models

Build linear survey models from words, tables, points, and graphs. Interpret rates of change and initial values.

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
13 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 write linear functions from verbal descriptions, tables, graphs, and two points.
Students find and interpret rates of change and initial values in survey contexts.
Students apply linear models to predict survey totals and check claims.

How to use

Use after introducing y = mx + b. Have students identify the input and output before finding each rate and initial value, then discuss the final error analysis.

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.

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Name Date

Student Opinions: Survey Models

Build linear functions for a school newspaper's survey project.

Collecting Opinions

Write each linear model using the variables given. In function blanks, enter signed numbers; a negative number may follow a printed plus sign.

The school newspaper surveys students about adding outdoor lunch seating. Editors have already collected 27 responses. Each classroom visit adds 18 responses. Let x be additional classroom visits and y be total responses. Which function models the total?

A. y = 18x
B. y = 18x + 27
C. y = 45x
D. y = 27x + 18

An editor checks survey forms at a constant rate. The table shows how many forms remain unchecked x minutes after checking begins.

Forms Awaiting Review
Minutes (x)	Unchecked forms (y)
2	74
5	53
9	25

Write the function: y = x + .

The number of responses supporting a quiet study room follows a linear model. After 2 classroom visits, there are 31 supporting responses. After 6 visits, there are 75. What is the initial value, and what does it mean?