The <em>linear</em> function y = 3 · w - 1 represents the number of sea shells found in each week.
The speed of the <em>driven</em> gear is 180 rounds per minute.
<h3>How to use direct and inverse relationships to analyze situations</h3>
In the first problem we have an example of <em>linear</em> progression, in which the number of sea shells is increased linearly every week. After a quick analysis, we conclude that the <em>linear</em> function y = 3 · w - 1, a kind of <em>direct</em> relationship.
In the second problem, we must an <em>inverse</em> relationship to determine the speed of the <em>driven</em> gear. Please notice that the speed of the gear is inversely proportional to the number of teeths. Then, we proceed to calculate the speed:
If we know that , and , then the speed of the driven gear is:
The speed of the <em>driven</em> gear is 180 rounds per minute.
To learn more on inverse relationships: brainly.com/question/4147411
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