Mat 116 Week 6 Study Guide E Fueling Up |Student Name: | Instructions: For each assigned problem show your steps taken to get the final answer (the rows will automatically expand as you enter text). Then, restate your final answer in the Answer column. If the problem includes units of measure, be sure to include the units. Download and name this file as LastnameFirstnameMat116SGE. Post to the Assignments Section.
Use a math editor (Equation Editor or MathType) to write all math text to insure proper formatting of work and answers. |# | |Show your Work using a math editor and state Final Answer |- pts |+ pts | |1 |Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up | |0 |0 | | |the gas tank with g gallons. Given the equation: [pic] | | | | |A |What does the number 3. 3 represent? Relate this |3. 03 represents price per gallon that you are paying for at the pumps. | |. 5 | | |situation to real life. When you go to a gas | | | | | |station to fill your tank with gas, what are the 3| | | | | |key elements? | | | | |B |Find C(2) Restate the function, substitute the |C(2)=3. 3(2) c(2)=6. 06 | |. 5 | | |given input value, simplify the expression, then | | | | | |state the output value. | | | | | |Remember the units. | | | | |C |Find C(9) Restate the function, substitute the |C(9)=3. 03(9) c(9)=27. 7 | |. 5 | | |given input value, simplify the expression, then | | | | | |state the output value. | | | | | |Remember the units. | | | | |D |For the average motorist, name one value for g |C(15)=3. 03(15) c(15)=45. 5 | |. 5 | | |that would be inappropriate for this function’s | | | | | |purpose. Think about what g represents, then what | | | | | |number would be impossible or improbable to | | | | | |represent this element. | | | |E |If you were to graph C(g), what would be an |? | |1 | | |appropriate domain? Range? State two intervals | | | | | |describing the minimum and maximum values for both| | | | | |the domain and the range.
What element does the | | | | | |domain represent, what does the range represent? | | | | |2 |Examine the rise in gasoline prices from 1997 to |Y2-y1/x2-x1 | |1 | | |2006. The price of regular unleaded gasoline in |2. 31-1. 6/2006-1997 | | | | |January 1997 was $1. 26 and in January 2006 the |1. 05/9 | | | | |price of regular unleaded gasoline was $2. 31 |The slope is . 12 | | | | |(Bureau of Labor Statistics, 2006). Use the | | | | | |coordinates (1997, 1. 6) and (2006, 2. 31) to find | | | | | |the slope (or rate of change) between the two | | | | | |points. Describe how you arrived at your answer – | | | | | |Show your steps. | | | | | |State the Slope Formula.
Note that it uses the | | | | | |coordinates of two points of the functions. These| | | | | |points can be found in this given information. | | | | |3 |The linear equation [pic] represents an estimate of the average cost of gas for year x starting in 1997.
The year 1997| |0 |0 | | |would be represented by x = 1, for example, as 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? Be |1997+4=2001 | |. 5 | | |careful here – use an example and think about what| | | | | |x=0 represents. | | | |B |What x-value represents the year 2018? Be careful|2018-1997=21 | |. 5 | | |here – use an example and think about what x=0 | | | | | |represents. | | | | |C |What is the slope (or rate of change) of this |. 5 is the slope | |. 5 | | |equation? Restate the equation. What form is this| | | | | |equation in and what do the constants represent? | | | | |D |What is the y-intercept? Restate the equation. |. 79 would be the y-intercept | |. 5 | | |What form is this equation in and what do the | | | | | |constants represent? | | | |E |What does the y-intercept represent specific to |The y represents the price the gas goes up. | |. 5 | | |this situation? | | | | | |The y-intercept is where the line crosses the y | | | | | |axis. What is the x coordinate of this point? | | | | |What does this point mean in this situation? | | | | |
F |Assuming this growth trend continues, what will |. 15(21)+. 79 | |1 | | |the price of gasoline be in the year 2018? Restate|3. 15+. 79= | | | | |the function/equation that represents the price of|3. 4 | | | | |gas by year. Substitute the appropriate input | | | | | |value, show steps in solving for y. Remember | | | | | |units. | | | | |4 |The line [pic]represents an estimate of the average cost of gasoline for each year. |0 |0 | | |The line [pic] estimates the price of gasoline in January of each year (Bureau of Labor Statistics, 2006). | | | | |A |Do you expect the lines to be intersecting, |intersecting | |. 5 | | |parallel, or perpendicular? How can you tell by | | | | | |looking at the equations whether the lines would | | | | | |intersect or not? | | | |B |Use the equations of the lines to determine if |? | |1 | | |they are parallel. What did you find? What do you| | | | | |know about parallel lines? What is given in the | | | | | |equations of two lines that you can compare? | | | | |Clearly identify this element and state your | | | | | |conclusion. | | | | | | | | | | | |Posted according to directions (filename) | | |. | | |Used a math editor to type all math text. | | |. 5 | | |Posted by due date |10% deduction per day late. | | | | |Comments |Totals | |10 | References Bureau of Labor Statistics (2006). Consumer price index. Retrieved June 1, 2007 from http://data. bls. gov/cgi-bin/surveymost? ap.