Math problems - Speech or Presentation Example

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 PracticeAnswer 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. Imagine you are at a 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 a. What does the number 3.03 represent?The number 3.03 is slope and represents the per gallon cost in dollar for filling up the gas tank.b. Find C(2).c. Find C(9).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.For the average motorist, one value for g that would be inappropriate for this function’s purpose is 50, as most of the gas tank capacity/size will be less than 50 gallons.

Any negative value will be also inappropriate.e. If you were to graph C(g), what would be an appropriate domain and range? Explain your reasoning. The appropriate domain will be all real number greater than 0 and less than or equal to size of the tank. The appropriate range will be all real number greater than 0 and less than or equal to 3.03 times size of the tank. Let the V is the capacity of gas tank in gallons. ThenDomain: Range: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. Describe how you arrived at your answer.The slope, or rate of change is give byPutting the value of the coordinates (1997, 1.26) and (2006, 2.31) in slope formula.The rate of change is about $0.12 per year.3. The linear equationrepresents 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 = 4?Year 2000 will be represented by x = 4.b. What x-value represents the year 2018?x value of 22 represents the year 2018.c. What is the slope, or rate of change, of this equation?The slope, or rate of change of this equation is 0.15.d. What is the y-intercept?The y-intercept is 0.79.e. What does the y-intercept represent?

The y-intercept represents the gas price in year 1996 (x = 0).f. Assuming this growth trend continues, what will the price of gasoline be in the year 2018? How did you arrive at your answer?Putting value of x = 22 (for year 2018) in the linear equationThe price of gasoline will be $4.09 per gallon in the year 2018.4. 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.I expect the lines to be intersecting (or close to parallel) because there will be difference in average cost of gasoline each year and the price of gasoline in January of each year due to fluctuation of price.b. Use the equations of the lines to determine if they are parallel. What did you find?The slope of the equation is 0.15 and the slope of the equation is 0.11.Since,and The lines are not parallel, in-fact they are intersecting.c. Did your answer to Part b. confirm your expectation in Part a?

Yes, my answer to Part b confirm my expectation in part a.ReferencesBureau of Labor Statistics. (2006). Consumer price index. Retrieved from http://data.bls.gov/cgi-bin/surveymost?ap