Question

the usda reported that in 1990 each person in the united states consumed an average of 133 pounds of natural sweeteners. they also claim that this amount has decreased by about 0.6 pounds each year.

Answer 1

The linear equation for given condition is y = -0.6x+133.

As given in the question,

Let y represents amount of sweeter consumed

And x represents number of years

Linear equation with x as independent variable and y as dependent variable is equal to y = mx + b

m = Slope

b = y-intercept

Each year amount decrease by 0.6pounds

Therefore, m = -0.6

Starting year is 1990

⇒ x=0

⇒ 133 = -0.6 (0) + b

⇒ b= 133

Therefore, linear equation for given situation is  y = -0.6x +133.

The complete question is :

The USDA reported that in 1990 each person in the united states consumed an average of 133 pounds of natural sweeteners. they also claim that this amount has decreased by about 0.6 pounds each year.

write a linear equation that relates years since 1990 to the average consumption of natural sweeteners. Define your variables.

Learn more about linear equation here

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