Modeling with Linear Functions
aligned to 8.f.b.4 Construct A Function To Model A Linear Relationship Between Two Quantities. Determine The Rate Of Change And Initial Value Of The Function From A Description Of A Relationship Or From Two (x,y) Values, Including Reading These From A Table Or From A Graph. Interpret The Rate Of Change And Initial Value Of A Linear Function In Terms Of The Situation It Models, And In Terms Of Its Graph Or A Table Of Values.
Learning Objective
I can model real-world scenarios using linear functions by determining the rate of change and initial value from different representations.
Lesson Flow
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Modeling with linear equations example 1 | Linear equations and functions | 8th grade | Khan Academy
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Practice
7 questions • Short answer
Exit Ticket
“A popular singer starts with 50,000 streams on a new song. The number of streams increases by 5,000 each day. Write a linear equation to represent the total number of streams (y) after x days. A TikToker initially has 2 million followers. After starting a new series, they lose 10,000 followers each week. Write a linear equation to represent the total number of followers (y) after x weeks. A musician is selling merchandise online. On the first day of sales, they made $200. Each day after that, they make an additional $50. Write a linear equation to represent the total amount of money earned (y) after x days.”
Teacher Guide
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