Week 6 Project – Fueling Up Motorists often complain about rising gas prices. Some motorists ...
guru2009
q.docxUniversity of Phoenix Associate’s Program Material
Week 6 Project – 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.
a. What does the number 3.89 represent?
b. Find C(3). Show all work.
c. Find C(12). Show all work.
d. For the average motorist, name one value for g that would be inappropriate for this function’s purpose. Explain why you chose that number.
e. If you were to graph C(g), what would be an appropriate domain and range? Include a minimum and maximum number for the domain and a minimum and maximum number for the range. Explain how you arrived at your answers.
|
|
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 (“Consumer price index,” 2006). Use the coordinates (1997, 1.26) and (2006, 2.31) to find the slope, or rate of change, between the two points. Show all work.
|
|
3. The linear equation
represents an estimate of the average cost of gas for year x starting in 1997 (“Consumer price index,” 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or x = 9.
a. What year would be represented by x = 6? How did you arrive at your answer?
b. What x-value represents the year 2020? How did you arrive at your answer?
c. What is the slope, or rate of change, of this equation? How do you know?
d. What is the y-intercept? How do you know?
e. What does the y-intercept represent for this specific situation?
f. Assuming this growth trend continues, what will the price of gasoline be in the year 2020? Show all work.
|
|
4. The line
represents an estimate of the average cost of gasoline each year. The line
estimates the price of gasoline in January of each year (“Consumer price index,” 2006).
a. Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning.
b. Use the equations of the lines to determine if they are parallel. Show all work. What did you find?
c. Did your answer to Part b. confirm your expectation in Part a? Offer your insight as to why it was or was not confirmed.
|
|
MAT/116 (Sloma)
85
.
0
11
.
0
-
=
-
y
x
)
(
89
.
3
)
(
g
g
C
=
79
.
0
15
.
0
+
=
x
y
