When t = 0, the value of the computer is __ dollars. As time increases, 1,200(0.73)² gets closer and closer to __. So, f(t) gets closer and closer to __.

Let’s break down your question step-by-step.

1. When t = 0, the value of the computer is __ dollars.

If you have a function that describes the value of the computer over time, like f(t) = 1200(0.73)^t, then to find the value at t = 0, substitute 0 in for t:

[

f(0) = 1200(0.73)^0 = 1200(1) = 1200 text{ dollars.}

]

2. As time increases, 1,200(0.73)² gets closer and closer to __.

Since the base of the exponent (0.73) is less than 1, as t increases, the value of (0.73)^t will get smaller and therefore the overall function f(t) will also decrease. As t approaches infinity, the value will approach 0 dollars.

3. So, f(t) gets closer and closer to __.

Therefore, as t increases indefinitely, f(t) will get closer and closer to 0.

So to summarize:

– When t = 0, the value of the computer is 1200 dollars.

– As time increases, 1,200(0.73)² gets closer and closer to 0.

– So, f(t) gets closer and closer to 0.