If the population increases by 11% every year, how many years does it take for the population to double? Write ONLY your answer(s) in the box below. On your own paper, show all your work and justify your answer(s). You will be submitting the paper at the end of this test. 

Suppose that the average annual college tuition is expressed by the formula  where n is the number of years since 2018. Which one of the following accurately describes this growth?

The number of patients in the local ICU (intensive care unit) is increasing by 15 people every day. This is an example of exponential growth.

Jefferson’s Method of apportionment favors bigger states while Hamilton’s Method does not.

Your friend tosses two coins, and you win $100 if you get two Tails but loses $40 if you don’t get two Tails. What is your expected value each time your friend tosses two coins?

An organization is trying to choose their next president. The results are as follows:  # votes 12 10 8 5 1st choice Ivan Freda Chris Chris 2nd choice Freda Ivan Freda Ivan 3rd choice Chris Chris Ivan Freda (a) Which candidate wins by plurality? (3 pts.) (b) Which one wins by the Instant Runoff Voting? (4 pts.) (c) Is there a Condorcet winner? If so, identify the candidate. (3 pts.) Write ONLY your answers in the box below. On your own paper, show all your work and justify your answers. You will be submitting the paper at the end of this test. Credit will not be given unless you show your work. 

The answer to the question “What is your age?” is a quantitative type of data.

Five people reported how many times they got sick last year. The answers were as follows:  {4, 0, 3, 1, 1} What is the median?

Five people reported how many times they got sick last year. The answers were as follows:  {6, 2, 1, 2, 0} What is the median?

Which one of the following is an approximate value of the Golden Ratio”