Appendix F
Axia College Material
Appendix E
Fueling Up
Motorists often complain about rising gas prices. Some motorists purchase fuel efficient vehicles and participate in trip reduction plans, such as carpooling and using alternative transportation. Other drivers try to drive only when necessary.
Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
1. Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation: [pic]
a) What does the number 3.03 represent? Gas per Gallon
b) Find C(2) 6.06
c) Find C(9) 27.27
d) For the average motorist, name one value for g that would be inappropriate for this function’s purpose. Explain why you chose the number you did. I chose this number due to a negative is irrelevant to the equation. It would mean you are gaining money and loosing gas.
e) If you were to graph C(g), what would be an appropriate domain? Range? Explain your reasoning. Domain- Non-negative numbers, Range - Non-negative numbers, Negative numbers don't make sense for purchasing gas.
2. Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.26 and in January 2006 the price of regular unleaded gasoline was $2.31 (Bureau of Labor Statistics, 2006). Use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope (or rate of change) between the two points. Describe how you arrived at your answer.
I used the (y2-y1)/(x2-x1) to find the slope of the equation
(2.31-1.26)/(2006-1997)
1.05/9=slope or m
3. The linear equation
[pic]
represents an estimate of the average cost of gas for year x starting in 1997. The...
View Full Essay