Create an equation and a graph to represent proportional relationships, including an appropriate scale and axes.
Student Task Statement
Jada and Noah count the number of steps they take to walk a set distance. To walk the same distance, Jada takes 8 steps while Noah takes 10 steps. Then they find that when Noah takes 15 steps, Jada takes 12 steps.
Write an equation that represents this situation. Use to represent the number of steps Noah takes and to represent the number of steps Jada takes.
Create a graph that represents this situation and can be used to determine how many steps Noah will take if Jada takes 100 steps.
Solution
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Problem 2
Learning Goals
Interpret multiple representations of a proportional relationship in context.
Student Task Statement
Diego and Priya are filling buckets of the same size with water from two different hoses.
Diego can fill 20 buckets in 5 minutes.
The equation describes how Priya can fill buckets, where represents the time in minutes, and represents the total number of buckets she has filled.
Who is filling buckets faster? Explain your reasoning.
