Bubble chart from gapminder with an explanation of the economic quantities on the x- and the y-axis. Describe the observed relationship. (A good opportunity to showcase your mastery of terminology, e.g, increasing/decreasing/convex/concave.) 2. An empirical estimate of the rate of change of the observed relationship. To do that create a table that shows the x- and y-value for different points. Empirically find the rise over run. Note: moving your mouse along the graphs and data points on gapminder shows you precise values on the x and y axis. 3. A function (linear, quadratic, logarithmic, exponential, square root, polynomial) that approximately looks like the graph shown in part A.(1), as well as a explanation on why this function captures the observed relationship. Make sure your function aligns with the functional values found in A.2. Note: If the relationship is between log quantities, the function must also depend on the log quantities. Note: The function should have the same name as the economic quantity on the y-axis. The independent variable should have the same name as the economic quantity on the x-axis. For example, if you have pollution on the y-axis and income on the x-axis, your function would be P = P(I). 4. The derivative of the formal function you wrote down in A.3. In the example from A.3, you would find the derivative of P with regard to I. 5. The evaluation of the derivative you found in A.4 at the various points corresponding to entries in your table in A.2. 5. A discussion of whether the formal derivative resembles or is similar to the empirical one. Note: Such a discussion should include aspects that are similar (and why and in what way), as well as aspects that are different (and why and in what way.)

I cannot read the hand writing can someone tyoe this out for mr please ?

do it with pencil and paper

Imagine you are the mayor of a town and you are trying to decide if you should pay for a fireworks show. Your staff survey your 400 citizens who say that they each value a fireworks show at $10. The fireworks show only costs $3,000 so you put on the show but when you ask for donations to pay for the fireworks you only receive $25 total. What does this result show? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. You staff's survey must have overestimated the value of a fireworks show. b The fireworks cost must have been greater than their economic benefit. The firework show suffered from the Tragedy of the Commons problems d The town's citizens were free-riders.