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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

Rising Sea Level Marjory Duffin recently purchased a beachfront condominium in New York and is now in a panic, having just seen some disturbing figures about rising sea levels (sea levels as measured in New York relative to the 1900 level).

Year Since 1900 0 25 50 75 100 125
Sea Level (mm) 0 60 140 240 310 390

a. What was the average rate of increase of the sea level over this entire period?

b. During which 25-year interval(s) did the rate of increase of the sea level exceed the average rate?

c. Marjory Duffin’s condominium is about 2 meters above sea level. Using the average rate of change from part (a), estimate how long she has before the sea rises to her condominium.

(a)

To determine

To calculate: The average rate of increase of sea level in New York over the whole period with the help of the table provided if Marjory Duffin bought a condominium in New York but the sea level is rising so she is worried.

The table provided is:

Year since 1990 0 25 50 75 100 125
Sea Level (mm) 0 60 140 240 310 390
Explanation

Given information:

Marjory Duffin bought a condominium in New York but the sea level is rising so she is worried.

The table provided is given below:

Year since 1990 0 25 50 75 100 125
Sea Level (mm) 0 60 140 240 310 390

Formula used:

The average rate of change of function f(x)

is:

Average rate of change of f=ΔfΔt

Calculation:

Consider that Marjory Duffin bought a condominium in New York but the sea level is rising

(b)

To determine

To calculate: The 25

year interval when the rate of increase of the sea level was more than the average rate of increase of sea level in New York in the whole period with the help the table provided if it is given that Marjory Duffin bought a condominium in New York but the sea level is rising so she is worried.

The table provided is:

Year since 1990 0 25 50 75 100 125
Sea Level (mm) 0 60 140 240 310 390

(c)

To determine

To calculate: The number of years it will take for the sea level to reach Marjory Duffin’s condominium if it is 2

meters above the sea level using part (a).

The table provided is:

Year since 1990 0 25 50 75 100 125
Sea Level (mm) 0 60 140 240 310 390

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