Mathematical Modeling: Energy Consumption & CO2 in France - Prof. Janice Pearce, Assignments of Mathematics

Download Mathematical Modeling: Energy Consumption & CO2 in France - Prof. Janice Pearce and more Assignments Mathematics in PDF only on Docsity! MAT 108 Environmental Issues: A Mathematical Modeling Approach Earth Algebra Homework Supplement GLOSSARY BTU (British Thermal Unit) - Energy is often measured in BTUs in which one BTU is the amount of energy necessary to heat one pound of water by a single degree Fahrenheit. Next do all of the following: 1. In 1985 France consumed about 6,200 Trillion BTUs of Energy. Since then France's nationwide energy consumption has actually been going down by approximately 50 Trillion BTUs per year! (Yey France!) a. Assuming these trends continue, how much energy would you predict that France will consume this year? b. If you want to create a model from these data, you will need a dependent and an independent variable. Let E = Energy consumption in France, and N = number of years after 1985. Which is independent, and why? c. Find a linear equation that can be used to represent the relationship between E, energy consumption in France, and N, the number of years after 1985. d. Briefly explain why this relationship must be linear. (It's NOT a good reason to say that I said so in part c! Explain how you know that is correct.)