Determine if a function is linear based on the rate of change of points in the function presented graphically and in a table of values.
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The following table of values shows some solutions to a linear equation.
Write the linear equation that contains these solutions.
Jonas wants to borrow money from his parents to buy a phone and has two options for a payment schedule: one presented in a table and one presented as an equation.
Payment Schedule A:
Payment Schedule B: $${4x + 25 = y}$$ where $$y$$ is cost of the phone, and $$x$$ is the number of weeks required to pay Jonas’s parents back.
Which one has the greater rate of change? What does this mean in context?
Describe why this graph is not linear.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Write two linear equations: one that is represented in a table of values and has a negative rate of change, and one that is represented in an equation and has a lower rate of change than the first function.