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Weekend Bike Repairs: Batch Forecasts

Interpret slopes and intercepts in bike-repair models, plan service batches, and predict weekend profit from paired data.

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
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

About this worksheet

What students practice

Students interpret the slopes and intercepts of linear models with units.
Students use linear models from paired data to make scheduling and profit decisions.
Students explain how changing the input's reference point changes the meaning of the intercept.

How to use

Use after introducing fitted linear models. Have students show calculations on separate paper and discuss why model predictions can differ from records.

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.

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Weekend Bike Repairs: Batch Forecasts

Use paired-data models to plan service batches and predict profit.

Plan Service Batches

Amara and Luis run a weekend bike-repair business. Use their fitted models for predictions, rather than assuming every recorded value lies on a model.

For batches of basic tune-ups, they recorded the number of bikes and total service time, including one setup period per batch. Their fitted model is T = 9n + 14, where n is the number of bikes and T is the predicted batch time in minutes.