Mathematics College

The value of a newly purchased computer will decrease over time. The value of the computer can be modeled by the following function:

f(t)=200+1,200(0.73)2t,

where t is measured in years since the computer was purchased.

Use the drop-down menus to complete the explanation of how the function models the computer's value over time.

The Value Of A Newly Purchased Computer Will Decrease Over Time. The Value Of The Computer Can Be Modeled
The Value Of A Newly Purchased Computer Will Decrease Over Time. The Value Of The Computer Can Be Modeled
The Value Of A Newly Purchased Computer Will Decrease Over Time. The Value Of The Computer Can Be Modeled
The Value Of A Newly Purchased Computer Will Decrease Over Time. The Value Of The Computer Can Be Modeled

Answers

Answer 1

Answer:

$14000200

Step-by-step explanation:

a)

Substitute 0 for t and evaluate the expression. Recognize that any value to the zero power is 1.

  f(0) = 200 +1200(0.73^(2·0)) = 200 +1200·1

  f(0) = 1400

When t=0, the value of the computer is 1400 dollars.

__

b)

The exponential expression 1200(0.73^(2t)) has a horizontal asymptote of 0. It gets closer and closer to 0.

__

c)

The exponential term gets closer to 0, so the function value gets closer to ...

  f(∞) ≈ 200 +0 ≈ 200

f(t) gets closer and closer to 200.

The Value Of A Newly Purchased Computer Will Decrease Over Time. The Value Of The Computer Can Be Modeled
Answer 2

Answer:

1) 1,400

2) 0

3) 200

The Value Of A Newly Purchased Computer Will Decrease Over Time. The Value Of The Computer Can Be Modeled

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Answers

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