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Answer :
A mathematical formula to figure out the average consumption of natural sweeteners 'y' in a given year 'x' after the year 2000 is given by the linear equation y = 2.9x + 135, where 2.9 represents the annual increase in sweetener consumption and 135 is the initial consumption in the year 2000.
The question is asking for an equation to determine the average consumption of natural sweeteners for any given year after the year 2000. In this query, the year 2000 is our starting point, or baseline, and each subsequent year represents an increase in sweetener consumption.
We could use a linear equation to describe this pattern. In a linear equation, the format is y = mx + b. 'y' represents what we want to find out, 'm' stands for the slope (or in this case, the rate of increase per year), 'x' is the variable representing the years after 2000, and 'b' stands for the initial or starting value.
So, considering the details given, we have our initial value, b, as 135 pounds (the consumption of sweeteners in the year 2000) and our rate of increase, m, as 2.9 pounds per year. Therefore, the equation which illustrates the average consumption of natural sweeteners 'y' in a given year 'x' after the year 2000 would be y = 2.9x + 135.
Learn more about Linear Equation here:
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