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?
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
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a. is 2000
how did you get that without an equation?
I would just say these questions cannot be answered since there was not enough information given.
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so for the first one you plug in x=4 correct?
after that im lost
oh since x=4, then the year is 2000 ok gj
now for b....
so x=1 we have 1997
x=2 we have 1998
x=3 we have 1999
x=4 we have 2000 and so on..
so the equation for the year would be Z=1996+x
lets see for x=1, we get Z=1996+1=1997
for x=2 we get Z=1996+2=1998
and so on...
so the question is what is x if Z=2018
so we have 2018=1996+x solve this equation for x
what did you get when you solved the equation that i just typed for x?
ok cool so did you understand everything for b?
no not really by u breaking it down help me find the answer
I just made up a variable for the year
can we do the next one c
k it wants to know the slope of the line? what is the slope of any line in this form y=mx+b?
is that correct
so y=.5x+79 has slope_________?
what is m?
ok 1 min
oh ok the slope is .5
and would b=79
or the answer to the ? is just .5
the question c is just looking for slope so it would be .5
the question d is just looking for the y intercept so it would be .79 (I forgot the decimal when I typed it a sec ago)
therefore the y-intersect would b =0
the y-intercept is when x=0
than im lost on problem e
ok we will come back to it then lets look at the last one average gas is y=.5x+.79
and since we are looking at yr 2018 then x=22
so the average gas for yr 2018 is y=.5(22)+.79
ok back to e.
the y-intercept is when x=0 because if we were to graph a point on the y axis x would always be zero since we aren't going left and right any from the origin.
for example graph (0,5) and (0,-6). where are these points?