Two competing companies offer satellite television to a city with 100,000 households. Gold Satellite System has 25,000 subscribers and Galaxy Satellite Network has 30,000 subscribers. (The other 45,000 households do not subscribe.) The matrix shows the percent changes in satellite subscriptions each year.

(a) Find the number of subscribers each company will have in 1 year using matrix multiplication. Explain how you obtained your answer.
(b) Find the number of subscribers each company will have in 2 years using matrix multiplication. Explain how you obtained your answer.
(c) Find the number of subscribers each company will have in 3 years using matrix multiplication. Explain how you obtained your answer.
(d) What is happening to the number of subscribers to each company? What is happening to the number of nonsubscribers?

Transcribed Image Text:

Percent Changes From From Non- Galaxy subscriber From Gold To Gold To Galaxy To Nonsubscriber 0.10 [0.70 0.15 0.15 Percent Changes 0.20 0.80 0.05 0.15 0.70