Section A Section A Checkpoint

Problem 1

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 $n$ to represent the number of steps Noah takes and $j$ 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.

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Solution

$n=\frac54j$ or $j=\frac45n$ (or equivalent)
Sample graph. If Jada takes 100 steps, Noah will take 125.

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Sample Response

$n=\frac54j$ or $j=\frac45n$ (or equivalent)
Sample graph. If Jada takes 100 steps, Noah will take 125.

Problem 2

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 $y=3x$ describes how Priya can fill buckets, where $x$ represents the time in minutes, and $y$ represents the total number of buckets she has filled.

Who is filling buckets faster? Explain your reasoning.

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Solution

Diego is filling buckets faster. Sample reasoning: Diego can fill 20 buckets in 5 minutes but Priya can only fill 15 buckets in 5 minutes.

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Sample Response

Diego is filling buckets faster. Sample reasoning: Diego can fill 20 buckets in 5 minutes but Priya can only fill 15 buckets in 5 minutes.