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Recycling Drive: Sorting and Storage Models worksheet preview

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Recycling Drive: Sorting and Storage Models

Interpret slopes and intercepts and use linear models to predict sorting times, bottle loads, and paper remaining at a recycling drive.

Grade 8MathInteractive · Printable

Aligned to8.SP.A.3

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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, Matching, Circle the answer, Short answer

About this worksheet

What students practice

  • Students use equations of linear models to make predictions and solve problems with paired data.
  • Students interpret slopes and intercepts using the quantities and units in a recycling-drive context.
  • Students explain how a negative slope describes a decreasing amount.

How to use

Use after students learn slope and intercept. Have students label the units of each model before answering, then discuss why predictions may differ from measurements.

Curriculum

Common Core standard covered

8.SP.A.3

Use the equation of a linear model to solve problems with paired data, explaining what the slope and intercept mean.

Preview

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Name Date

Recycling Drive: Sorting and Storage Models

Use linear models to plan how cans, bottles, and paper are processed.

Can-Sorting Station

Use the model provided. Predictions are estimates, not guaranteed measurements.

Volunteers record the mass of cans in each batch and the total time needed to prepare and sort it. Their linear model is T = 1.5x + 4, where x is the mass of cans in kilograms and T is the predicted total time in minutes.
1.
Can-Sorting Records
Can mass (kg)Observed time (min)
614
1018
1426
1830
A new batch contains 16 kg of cans. Use T = 1.5x + 4, not an individual table row, to predict its total processing time.

Predicted time:   minutes

2.
Select both statements that correctly describe the slope in T = 1.5x + 4.

Each additional kilogram adds 1.5 minutes to the predicted time.Each additional minute adds 1.5 kilograms to the predicted mass.An additional 4 kg adds 6 minutes to the predicted time.Every batch has a predicted total processing time of 1.5 minutes.

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