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1honey Group Title

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

  • 3 years ago
  • 3 years ago

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  1. 1honey Group Title
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    a. is 2000

    • 3 years ago
  2. myininaya Group Title
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    how did you get that without an equation? I would just say these questions cannot be answered since there was not enough information given.

    • 3 years ago
  3. 1honey Group Title
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    im sorry the equation is y=0.5x+0.79

    • 3 years ago
  4. myininaya Group Title
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    so for the first one you plug in x=4 correct?

    • 3 years ago
  5. 1honey Group Title
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    after that im lost

    • 3 years ago
  6. myininaya Group Title
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    oh since x=4, then the year is 2000 ok gj now for b....

    • 3 years ago
  7. myininaya Group Title
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    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

    • 3 years ago
  8. myininaya Group Title
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    what did you get when you solved the equation that i just typed for x?

    • 3 years ago
  9. 1honey Group Title
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    x=22

    • 3 years ago
  10. myininaya Group Title
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    ok cool so did you understand everything for b?

    • 3 years ago
  11. 1honey Group Title
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    no not really by u breaking it down help me find the answer

    • 3 years ago
  12. myininaya Group Title
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    I just made up a variable for the year

    • 3 years ago
  13. 1honey Group Title
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    can we do the next one c

    • 3 years ago
  14. myininaya Group Title
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    k it wants to know the slope of the line? what is the slope of any line in this form y=mx+b?

    • 3 years ago
  15. 1honey Group Title
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    m=

    • 3 years ago
  16. 1honey Group Title
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    is that correct

    • 3 years ago
  17. myininaya Group Title
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    yes

    • 3 years ago
  18. myininaya Group Title
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    so y=.5x+79 has slope_________?

    • 3 years ago
  19. myininaya Group Title
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    what is m?

    • 3 years ago
  20. 1honey Group Title
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    ok 1 min

    • 3 years ago
  21. myininaya Group Title
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    slope=m=.5

    • 3 years ago
  22. myininaya Group Title
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    ok

    • 3 years ago
  23. 1honey Group Title
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    oh ok the slope is .5 and would b=79

    • 3 years ago
  24. 1honey Group Title
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    or the answer to the ? is just .5

    • 3 years ago
  25. myininaya Group Title
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    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)

    • 3 years ago
  26. 1honey Group Title
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    therefore the y-intersect would b =0

    • 3 years ago
  27. myininaya Group Title
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    the y-intercept is when x=0

    • 3 years ago
  28. 1honey Group Title
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    than im lost on problem e

    • 3 years ago
  29. myininaya Group Title
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    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

    • 3 years ago
  30. 1honey Group Title
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    y=11.79

    • 3 years ago
  31. myininaya Group Title
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    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?

    • 3 years ago
  32. 1honey Group Title
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    would it be -11

    • 3 years ago
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