PLEASE HELP!!! WILL MARK BRAINLIEST!!!!!

Mathematics

1 answer:

just olya [345]2 years ago

8 0

The piecewise defined function is

f(t) = 800 * 1.5^t for 0 - 2

f(t) = 2700 * 1.05^t-3 for 3 to 9

<h3>How to determine the piecewise functions?</h3>

On the domain of t = 0 to 2, we have:

f(0) = 800

f(1) = 1200

f(2) = 1800

The above function is a piecewise function with the following definition

f(0) = 800 --- initial value

r = 1200/800 = 1.5 --- rate

The function is then represented as:

f(t) = f(0) * r^t

This gives

f(t) = 800 * 1.5^t

On the domain of t = 3 to 9, we have:

f(3) = 2700

f(4) = 2835

The above function is a piecewise function with the following definition

f(3) = 800 --- initial value

r = 2835/2700 = 1.05 --- rate

The function is then represented as:

f(t) = f(3) * r^t-3

This gives

f(t) = 2700 * 1.05^t-3

Hence, the piecewise defined function is

f(t) = 800 * 1.5^t for 0 - 2

f(t) = 2700 * 1.05^t-3 for 3 to 9

Read more about piecewise defined function at

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