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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

Mathematics
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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.
im sorry the equation is y=0.5x+0.79

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Other answers:

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?
x=22
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?
m=
is that correct
yes
so y=.5x+79 has slope_________?
what is m?
ok 1 min
slope=m=.5
ok
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
y=11.79
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?
would it be -11

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