A small island has a roughly rectangular shape. It is 18.2 kilometers wide and 28.5 kilometers long. Rising water levels are reducing the width by 1.2% each year and the length by 0.8% each year.

Use the drop-down menus to choose or create functions to model:

A. The width of the island over time, w(t)
B. The length of the island over time, l(t)
C. The area of the island over time, a(t)

Part A)

Part B)

Part C)

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

where

a is the initial value

r is the rate of change

Part A) Create functions to model :

The width of the island over time, w(t)

we have

where

substitute

Part B) Create functions to model :

The length of the island over time, l(t)

we have

where

substitute

Part C) Create functions to model :

The area of the island over time, a(t)

we have

Remember that the area of a rectangle is given by

substitute the given values

answer: ok

step-by-step explanation: