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Technology required. A function f gives the number of stray cats in a town t years since
the town started an animal control program. The program includes both sterilizing
stray cats and finding homes to adopt them. An equation representing f
is f(t) = 243(1):
=
a. What is the value of f(t) when t is 0? Explain what this value means in this
situation.

Answer :

This means that the number of stray cats in a town when the town started the animal control program is 729.

Exponential function

An exponential function is given by:

y = abˣ

Let y, x are variables, a is the initial value and b is the multiplication factor.

Where f is the number of stray cats in a town t years since the town started an animal control program.

Since [tex]f(t) = 729(\frac{1}{3} )^t[/tex]

f(0) = 729(1/3)° = 729

This means that the number of stray cats in a town when the town started the animal control program is 729.

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