9. 4.48 points WaneAC6 3.4.030. My Notes Ask Your Teac + The following graph sho

Question

9. 4.48 points WaneAC6 3.4.030. My Notes Ask Your Teac + The following graph shows the approximate value V(t) of subprime (normally classified as risky) mortgage debt outstanding in the United States. Subprime debt outstanding 1,400 1,200 1,000 600 40 2000 2008 Year ( (a) Use the graph to estimate, to one decimal place, the average rate of change of V(t) with respect to t over the interval [0, 4] and interpret the result. The average rate of change is per year between 2000 and 2004. , which means that the subprime mortgage debt outstanding was increasing at an average rate of around $ billion (b) Over which 2-year period(s) was the average rate of change of V(t) the least? (Select all that apply.) HINT [See Example 2.] 12, 4] (4, 6 (6, 8

Explanation / Answer

a. Average rate of change =(900-400)/(2004-2000) =500/4=125

The average rate of change is 100 which means that the subprime mortgage debt otstanding was increasing at an average rate of around $125 per year between 2000 and 2004.

b. In 2 to 4, average rate of change is (900-500)/(4-2) = 200

In 4 to 6, average rate of change is (1200-900)/(6-4)= 150

In 6 to 8, it is (1275-1200)/2= 37.5

So least is in [6,8]

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