Modeling with Linear Functions
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Objective
I can model real-world scenarios using linear functions by determining the rate of change and initial value from different representations.
Part 1 of 3
Warm-up video
Khan Academy · 4:58Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 3
Practice
7 questions
A popular TikToker starts a dance challenge. On day 1, 50 people participate. Each day, 15 more people join the challenge. What is the initial value (starting number of participants) and the rate of change (number of new participants each day)?
A singer releases a new song. The number of streams increases linearly for the first week. After 2 days, the song has 10,000 streams. After 5 days, it has 25,000 streams. What is the rate of change in streams per day?
Part 3 of 3
Exit ticket
Quick comprehension check
“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.”
Sample answer included in the free materials
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