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Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

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BuyFindarrow_forward

Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Subprime Mortgage Debt during the Housing Crisis The following graph shows the approximate value V ( t ) ofsubprime (normally classified as risky) mortgage debt outstanding in the United States:37

Subprime debt outstanding

images

Year (t)

a. Use the graph to estimate, to one decimal place, the average rate of change of V ( t ) withrespect to t over the interval | 2 , 6 | , and interpret the result.

b. Over which 2-year period(s) was the average rate of change of V ( t ) theleast? [HINT: See Example 2.]

(a)

To determine

To calculate: The average rate of change of V(t) over the interval [2,6], if the graph of the percentage P(t) of mortgages debt outstanding in the United States with respect to years is shown below.

images

Explanation

Given Information:

The provided interval is [2,6] and the graph of the value V(t) of mortgages debt outstanding in the United States with respect to years is shown below:

Formula used:

The average rate of change f(x) over the interval [a,b] is:

Average rate of change of f=Change in fChange in x=ΔfΔx=f(b)f(a)ba

Calculation:

Consider the interval [2,6].

Refer the provided graph and find the value of V(t) corresponding to interval [2,6]

(b)

To determine

The two year period at which the average rate of change V(t) was least, if the graph of the percentage P(t) of mortgages debt outstanding in the United States with respect to years is shown below.

images

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