Question 24

The total outstanding consumer credit of a certain country (in billions of dollars) can be modeled by the function C(x) =9.12x - 85.18x +287.01x -309.11x + 2651.5, where x is the number of years since 2008. The graph of C(x) is shown to the right. Complete parts (a) 7000- through (c). 6000- 5000 Consumer credit outstanding 4000- 3000- 2000 1000 of 0 8x Number of years since 2008 dc a) Find dx dC dx dc b) Interpret the meaning of -Choose the correct answer below. O A. The instantaneous rate of change of consumer credit in the year 2008. O B. The average rate of change of consumer credit during the x years after 2008. O C. The average rate of change of consumer credit in the year (2008 + x). O D. The instantaneous rate of change of consumer credit in the hear (2008 + x). c) Using this model, estimate how quickly outstanding consumer credit was rising in 2013. Outstanding consumer credit was rising by $ billion per year in 2013. (Simplify your answer. Type an integer or a decimal.)