Often new technology spreads exponentially. Between 1995 and 2005, each year the number of Internet domain hosts was 1.43 times the number of hosts in the preceding year. In 1995, the number of hosts was 8.2 million. (a) Explain why the number of hosts is an exponential function of time. The number of hosts grows by a factor of each year, this is an exponential function because the number growing by -Select- v multiples. (b) Find a formula for the exponential function that gives the number N of hosts, in millions, as a function of the time t in years since 1995. IN (c) According to this model, in what year did the number of hosts reach 70 million? (Round your answer to the nearest year.)

Often new technology spreads exponentially. Between 1995 and 2005, each year the number of Internet domain hosts was 1.43 times the number of hosts in the preceding year. In 1995, the number of hosts was 8.2 million. (a) Explain why the number of hosts is an exponential function of time. The number of hosts grows by a factor of each year, this is an exponential function because the number growing by -Select- v multiples. (b) Find a formula for the exponential function that gives the number N of hosts, in millions, as a function of the time t in years since 1995. IN (c) According to this model, in what year did the number of hosts reach 70 million? (Round your answer to the nearest year.)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Often new technology spreads exponentially. Between 1995 and 2005, each year the number of Internet domain hosts was 1.43 times the number of hosts in the preceding year. In 1995, the number of hosts was
8.2 million.
(a) Explain why the number of hosts is an exponential function of time.
The number of hosts grows by a factor of
each year, this is an exponential function because the number is growing by -Select– v multiples.
(b) Find a formula for the exponential function that gives the number N of hosts, in millions, as a function of the time t in years since 1995.
N=
(c) According to this model, in what year did the number of hosts reach 70 million? (Round your answer to the nearest year.)

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