i need help on this, im not really good at math

Mar 13th, 2015
Price: $10 USD

Question description

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.

Answer the following questions. Make sure to show your work.

Imagine you are at agas 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

What does the number 3.03 represent?

Find C(2).

Find C(9).

For the average motorist, name one value for g that would be inappropriate for this function’s purpose. Explain why you chose thatnumber.

If you were to graph C(g), what would be an appropriate domain andrange? Explain your reasoning.

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. Describe how you arrived at your answer.

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,becauseit is the first year in the study. Similarly, 2005 would be year 9, or x = 9.

Whatyear would be represented by x = 4?

What x-value represents the year 2018?

What is the slope, or rate of change, of this equation?

What is the y-intercept?

What does the y-intercept represent?

Assumingthis growth trend continues, what will the price of gasoline be in the year 2018? How did you arrive at your answer?

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).

Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning.

Use the equations of the lines to determine if they are parallel. What did you find?

Did your answer to Part b. confirm your expectation in Part a?

Tutor Answer

(Top Tutor) iainharlow
School: Rice University

Studypool has helped 1,244,100 students

Review from student
" Totally impressed with results!! :-) "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1820 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors