The linear equatio y=0.15x + 0.79. represents an estmate of the average cost of
ID: 3102266 • Letter: T
Question
The linear equatio y=0.15x + 0.79. represents an estmate of the average cost of gas for year x starting in 1997. The year 1997 would be represented by x=1, for example, because it is the first year in the study. Similarily, 2005 would be year 9, or x=9.
a. What year would be represented by x=4?
b. What x-value represents the year 2018?
c. What is the slope, or rate of change, of this equation?
d. What is the y-intercept?
e. What does the y-intercept represent?
f. Assuming this growth trend continues, what wil the price of gasoline be in the year 2018? How doid you arrive at your answer?
Explanation / Answer
a.) The year 2000. Because 1997 + 3 = 2000. b.) 21. Again, 1997 + 21 = 2018 c.) y=mx+b, slope is the "m" value. So slope is 0.15. d.) y-int = 0.79. (the 'b' value) e.) The price of gas in the year 1996. (because x=0) f.) 0.15(21)+.79=price of gas in 2018=$3.94
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