Math Problem?
The linear equation Y= 0.15x + 0.79 represents an estimate of the average cost of gas for year x starting in 1997. The year 1997 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?
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 will the price of gasoline be in the year 2018? How did you arrive at your answer?
g) List the steps you would take to graph this equation. Particularly, describe how you would use the slope and intercept to graph the line.
Favorite Answer
b) x=22
c) the equation of a line is y=mx +b where m is the slope so 0.15 represents the slope.
d) b represents the y-intercept so what is the answer?
e) not sure what you are searching for here. When x=0 then y-.79 which is where it crosses the y-axis when x=0. So prior to 1997 the base amount of gasoline was 0.79.
f) when it is 2018 x-22 so y=0.15(22) +0.79. Gas will be $4.09 per gallon.
g)set up a graph with the horizontal axis representing the year and the vertical representing the total cost. Don’t forget that 1997 is actually x=1 so 1998 is x=2 etc. This is a linear equation (straight line). As the year increase so does the cost of gas. When x=1 the total cost is 0.94. Put a point on (1, 0.94) then go up 15 cents each year after.
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