refer to the following data set: Amusement Park Rides. According to the International Association of Amusement Parks and Attractions (IAAPA), There are more than 400 amusement parks and traditional attractions in the United States alone. In 2008, amusement parks in the United States entertained 300 million visitors who safely enjoyed more than 1.7 billion rides.4 Despite the popularity of amusement parks, the wait times, especially for the most popular rides, are not so highly regarded. There are different approaches and tactics that people take to get the most rides in their visit to the park. Now, there are even apps for the iPhone and Android to track waiting times at various amusement parks. One might ask, Are the wait times worth it? Are the rides with the longest wait times, the most enjoyable? Consider the following ctional data. The data shows 10 popular rides in two sister parks located in Florida and California. For each ride in each park, average wait times (in minutes) in the summer of 2010 and the average rating of ride enjoyment (on a scale of 1100) are provided. Compare the relationship between average wait times and average rating of enjoyment for Park 1 in Florida versus Park 2 in California.

L20 - 2 Implicit Diﬀerentiation requires the Chain Rule. Consider the following examples: d (x)= dx d 2 dx (x )= Now suppose that y is a diﬀerentiable function of x. d (y )= dy What is d (y ) dx To Diﬀerentiate Implicitly: Assume y is a diﬀerentiable function of x. 1. Diﬀerentiate both sides of the equation with respect to x. dy 2. Collect all terms involvidx on one side. 3. Rewrite by factoring outy . dx dy 4. Solve for . dx