Final answer:
To answer the question of the number of union workers in 2018 as a linear change since 2000, we need to know if the trend is increasing or decreasing. The equations given (A-D) consider a variable x, which represents the year since 2000, and a slope that either increases or decreases the y value over time.
Step-by-step explanation:
To find the number of union workers in 2018 considering it as a linear change since 2000, we need to understand that 2018 would have an x value of 18 (since 2018-2000=18). Looking at the options provided, to find y, we need an equation that increases or decreases linearly with x.
If we substitute x=18 into the equations:
- A) y = 16.3 - 0.08x = 16.3 - 0.08(18)
- B) y = 16.3 + 0.08x = 16.3 + 0.08(18)
- C) y = 14.7 - 0.08x = 14.7 - 0.08(18)
- D) y = 14.7 + 0.08x = 14.7 + 0.08(18)
Without knowing the specifics of the linear trend (increasing or decreasing), we cannot definitively choose the correct answer, but it is clear that the formula will include the 2018's x value, which is 18, and that will be multiplied by the slope, which is either 0.08 or -0.08, and then added or subtracted from the y-intercept. The options A and C represent a decrease in union workers over time, while options B and D represent an increase.
The additional provided data (e.g., y = 3730) does not clearly pertain to the question of union workers in 2018, making it difficult to apply it to this context. However, if one were to assume that the number of union workers has been decreasing since 2000, either option A or C would be correct. Conversely, if the number has been increasing, then options B or D would apply.