From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U. S. Can be modeled by n = 26.8 * (0.85) ^ t where t is the number of years since 1997.

Question

a) What is the decay factor?

b) What is the percent decrease?

c) Estimate the number of black and white TV's  sold in 1999.

a. Decay factor = 0.85

b. Percent decrease = 15%

c. 19.363  million TVs were sold

Step-by-step explanation:

Given

Solving (a): The decay factor

An exponential function has the form

Where b is:

By comparison:

Solving (b): Percentage decrease:

Percentage decrease P is calculated as follows:

Substitute 0.85 for b

Convert to percentage

Solving (c): TVs sold in 1999

First, we need to determine the value of t for 1999

In 1997, t= 0

In 1998, t= 1

In 1999, t= 2

So, we substitute 2 for t in:

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step-by-step explanation: