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Consider the following scenario From 1990 to 1999 the amount spent to purchase a car exported to a particular country increased at a rate of

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Consider the following scenario From 1990 to 1999 the amount spent to purchase a car exported to a particular country increased at a rate of 1 870 each successive year The increase in amount spent to purchase a car exported to this country from 1990 to 1999 can be represented by the rate function 1 87 f x 10 0 x 9 otherwise where x represents the number of years since 1990 and f x represents the rate of change in the amount spent to purchase a car exported to this country in thousands of dollars per year Calculate the area under f x on the interval 4 x 7 Interpret the result The area under f x on the interval 4 x 7 describes the amount spent to purchase a car exported to this country in thousands of dollars in 1997 The area under f x on the interval 4 x 7 describes the total increase in the rate of change of the amount spent to purchase a car exported to this country in thousands of dollars between 1994 to 1997 The area under f x on the interval 4 x 7 describes the rate of change of the amount spent to purchase a car exported to this country in thousands of dollars in 1997 The area under f x on the interval 4 x 7 describes the total increase in the amount spent to purchase a car exported to this country in thousands of dollars between 1994 to 1997

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