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Functions Graphs Appendix E Essay

735 words - 3 pages

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 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. 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 ...view middle of the document...

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.
Slope = rise/run
The rise in the gas price must be divided by the number of years elapse which is the run.
This means that the gas prices have increased by 7/60 added up is approximately 12 cents per year.

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 = 4?

1997 = 1 three years later which makes the answer: 2000


b. What x-value represents the year 2018?
Substitute 1996 to get the x value.

c. What is the slope, or rate of change, of this equation? 0.15

d. What is the y-intercept? 0.79

e. What does the y-intercept represent?

f. Assuming this growth trend continues, what will the price of gasoline be in the year 2018? How...

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