algebra

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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 represent the year 20018?

C) what is the slope (or rate of change) of this equation?

D) what is the y-intercept?

  • algebra -

    A) If the year 1997 is year x=1, then 1996 is year x = 0.

    Add 4 to 1996 to get year x = 4

    1996 + 4 = 2000

    B) I assume you mean 2018. Subtract 1996, which is year x = 0

    2018 - 1996 = 22

    So 2018 is year x = 22

    C,D) The equation is in the form y = mx + b.

    y = 0.l5 x + 0.79
    y = mx + b
    m = 0.15
    b = 0.79

    m is the slope, and b is the y intercept.

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