Assignment:
Q1. Park rangers catch, tag, and then release 140 elk back into a national park. One month later, they select a sample of 130 elk, 91 of which are tagged. Assuming the ratio of tagged elk in the sample holds for all elk in the park, approximately how many elk are in the park?
Q2. The formula M = 0.0075x2 - 0.2676x + 14.8 models the fuel efficiency of passenger cars, M, in miles per gallon, x years after 1940. Environmentalists pressured automobile manufactures for a fuel efficiency of 45 miles per gallon by the year 2000. In which year will the fuel efficiency reach 45 miles per gallon according to the formula?
Provide complete and step by step solution for the question and show calculations and use formulas.