SOLUTION: I am trying to figure out the following story problem and could really use your help! The number of metric tons of fruits,nuts,and vegetables imported into the US increased at a r

Question 356038: I am trying to figure out the following story problem and could really use your help! The number of metric tons of fruits,nuts,and vegetables imported into the US increased at a relatively constant rate of 437.5 thousand metric tons per year from 1990 to 2002. In 2002, about 9900.5 thousand metric tons of fruit,nuts,and vegetables were imported. Write an equation that gives the number of thousand metric tons imported as a function of the number of years since 1990 and find the year in which the number of metric tons reached 8000 thousand metric tons. I have several of these to do and I am hoping that if you could help me understand this one then I will be able to do the others. Thanks!
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
"increased at a relatively constant rate of 437.5 thousand metric tons per year"
___ this is the slope (m) of the linear equation

y = (m)x + b

y is the amount in a given year , and x is the number of years from 1990 to the given year

substitute the values for the year 2002 to find the constant term (b)

9900.5 = (437.5)(12) + b

once you have b , plug in 8000 for y and solve for x to find the years since 1990
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