College Basketball: Women The following chart shows the...

College Basketball: Women The following chart shows the number of NCAA women's college basketball teams in the United States for various years since $2000 .{ }^{35}$ a. On average, how fast was the number of women's college basketball teams growing over the three-year period beginning in $2004 ?$ b. By inspecting the graph, find the three-year period over which the average rate of change was largest. HINT [See Example 2.]

College Basketball: Women The following chart shows the number of NCAA women's college basketball teams in the United States for various years since $2000 .{ }^{35}$
a. On average, how fast was the number of women's college basketball teams growing over the three-year period beginning in $2004 ?$
b. By inspecting the graph, find the three-year period over which the average rate of change was largest. HINT [See Example 2.]

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Key Concepts

Average Rate of Change

This concept refers to measuring how much a quantity changes on average over a specific time interval. It is calculated by taking the difference in the values between the beginning and end of the interval and dividing by the length of the interval. This idea is central to understanding trends and changes over time in various fields.

Data Interpretation and Graph Analysis

Graph analysis involves extracting numerical and relational information from visual representations of data. It includes reading values at specific points, understanding the relationship between variables, and identifying trends or patterns, such as increases, decreases, or periods of rapid change.

Comparative Analysis of Time Intervals

This concept involves examining different periods to identify which interval exhibits the greatest change or growth. It requires calculating average rates of change over multiple intervals and comparing these values to pinpoint the interval with the most significant increase or decrease, supporting conclusions about relative performance over time.

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