Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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.

Sagot :

MrRoyal

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.

Answer:

a. Decay factor = 0.85

b. Percent decrease = 15%

c. 19.363  million TVs were sold

Step-by-step explanation:

Given

[tex]n = 26.8(0.85)^t[/tex]

Solving (a): The decay factor

An exponential function has the form

[tex]y = ab^x[/tex]

Where b is:

[tex]b = decay\ factor\ or\ growth\ factor[/tex]

By comparison:

[tex]b = 0.85[/tex]

Solving (b): Percentage decrease:

Percentage decrease P is calculated as follows:

[tex]P = 1 - b[/tex]

Substitute 0.85 for b

[tex]P = 1 - 0.85[/tex]

[tex]P = 0.15[/tex]

Convert to percentage

[tex]P = 0.15*100\%[/tex]

[tex]P = 15\%[/tex]

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: [tex]n = 26.8(0.85)^t[/tex]

[tex]n = 26.8(0.85)^2[/tex]

[tex]n = 26.8*0.7225[/tex]

[tex]n = 19.363[/tex]

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.