The total outstanding consumer credit of a certain country (in billions of dollars) can be modeled by the function C(x)=

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The Total Outstanding Consumer Credit Of A Certain Country In Billions Of Dollars Can Be Modeled By The Function C X 1 (10.7 KiB) Viewed 31 times

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The total outstanding consumer credit of a certain country (in billions of dollars) can be modeled by the function C(x)=9.03x²-85.28x²+287.39x²-309.08x + 2651.2, where x is the number of years since 2008. The graph of C(x) is shown to the right. Complete parts (a) through (c).

Consumer credit outstanding C(x) 8000 7000- 6000- 5000- 4000- 3000- 2000- 1000- 0+ 0 2 4 6 8X Number of years since 2008

a) Find dC dC dx b) Interpret the meaning of Choose the correct answer below. dC dx OA. The average rate of change of consumer credit during the x years after 2008. B. The instantaneous rate of change of consumer credit in the year (2008 + x). C. The instantaneous rate of change of consumer credit in the year 2008. OD. The average rate of change of consumer credit in the year (2008+x). c) Using this model, estimate how quickly outstanding consumer credit was rising in 2015. Outstanding consumer credit was rising by $ billion per year in 2015. (Simplify your answer. Type an integer or a decimal.)