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Question 494751: 3. The linear equation
y= 0.18x + 1.41
represents an estimate of the average cost of gas for year x starting in 2002 (“Consumer price index,” 2011). The year 2002 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 4, or x = 4.
a. What year would be represented by x = 10?
b. What x-value represents the year 2022?
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 will the price of gasoline be in the year 2025? How did you arrive at your answer?
4. The line
y = 0.18x + 1.41
represents an estimate of the average cost of gasoline each year. The line
0.17x - y = 1.21
estimates the price of gasoline in January of each year (“Consumer price index,” 2011).
a. Are the lines to be intersecting, parallel, or perpendicular? How do you know? Explain your reasoning.
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! I recommend that you do not post ten questions or parts of questions in one post. I can help you get started, and most of these "parts" can be solved using intuition.
3a. 2002 corresponds to x=1, 2003 corresponds to x=2, what year corresponds to x=10? Similarly, for part b, find the x-value that corresponds to 2022.
Parts c,d,e,f should be answered by using the fact that the line is in slope-intercept form.
4. Find the slopes of the lines. If they are different, they intersect, and if they multiply to -1, the lines are perpendicular. The lines are parallel or equivalent if the slopes are the same.
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