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In this problem, we are given the equation of the line of best fit as:

\[
y = 15x + 20
\]

This is a linear equation in slope-intercept form \(y = mx + b\), where:
- \(m = 15\) is the slope (rate of change),
- \(b = 20\) is the y-intercept.

The y-intercept (\(b = 20\)) represents the value of \(y\) when \(x = 0\). In this context:
- \(x\) represents the number of years since the alumni association was formed.
- \(y\) represents the number of members in the alumni association.

So, the y-intercept of 20 means that when \(x = 0\) (i.e., at the time the alumni association was formed), the number of members was 20. 

Thus, the correct answer is **B. the number of members in the alumni association when it was formed**.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you interpret the slope in this linear equation?
2. How would the line of best fit change if the alumni association had fewer members initially?
3. What does the slope of 15 represent in terms of membership growth?
4. How would you predict the number of members after 12 years using this equation?
5. How can you calculate the number of years it would take to reach 200 members?

**Tip:** The y-intercept always provides insight into the starting point of a situation in linear models.

What does the y-intercept of the line of best fit represent?

This problem explains how to interpret the y-intercept in the context of the line of best fit. The equation y = 15x + 20 represents membership growth over time, with the y-intercept showing the initial members when the alumni association was formed.

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