Western International University Material - DOC 8

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					Axia College Material
                              Week 6 Application Assignment
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: C ( g )  2.50( g )

    Find C(5) and C(10). Interpret your answers.

                           Answer Box (Type your work and answer below)
    Hint: Evaluate the function C(g).




                                                                                                      MAT 116
2. The graph of C(g) of a real-life scenario (i.e. a person with a budget) is shown below. What is the
   domain and the range of C(g)? Explain how you find the domain and range of C(g). What trend
   do you observe in the function C(g)?




                       Answer Box (Type your work and answer below)
Hint: See Wk 5 DQs.




                                                                                               MAT 116
3. Examine the rise in gasoline prices from 2006 to 2009. The price of regular unleaded gasoline in
   January 2006 was $2.31 and in January 2009 the price of regular unleaded gasoline was $3.49. Find
   the rate of change of the gasoline prices between 2006 and 2009. Assume x = 0 represents the year
   2006. What is the trend you observe in the gas prices? How do you know?

                          Answer Box (Type your work and answer below)
    Hint: Use slope formula.




4. Find the linear function that describes the real-life scenario in question 3 above.

                           Answer Box (Type your work and answer below)
    Hint: Use slope-intercept form: y= mx + b, where m is the slope and b is the y-intercept (0,b).
    Remember, a linear function is represented as f(x) = mx + b.




5. Using the linear function you found in question 4 above, predict what would be the price in 2012.

                         Answer Box (Type your work and answer below)
    Hint: Remember that x = 0 represents 2006. Find what value of x represents the year 2012.




                                                                                                      MAT 116