Question
According to a September 9, 2007, article in ZDNet , the number of Facebook users is growing at 3 to 4 percent compounded weekly, with
According to a September 9, 2007, article in ZDNet, the number of Facebook users "is growing at 3 to 4 percent compounded weekly, with about 38 million members currently."
(MULTIPLE CHOICE) Does this statement imply exponential growth? Explain. a) This does not imply exponential growth due to the phrase 'growing at 3 to 4 percent.'
b)This implies exponential growth due to the phrase 'compounded weekly.'
c)This does not imply exponential growth due to the phrase 'compounded weekly.'
d) This does not imply exponential growth due to the fact that the actual percent is not given.
e) This implies exponential growth due to the phrase 'growing at 3 to 4 percent.'
(b) Use these data (and a 3.5% weekly growth rate) to develop the exponential growth model for the number of users, where t is the number of weeks after September 9, 2007, and p is the number of Facebook members in millions.
p(t) = ANSWER (EXAMPLE FORMAT 1e^1234567(t)
(c) Use the model to predict the number of Facebook users in the first week of January 2011. (Assume the total number of weeks is 173. Round your answer to the nearest whole number.) ANSWER million (d) The article goes on to say that "In three years, we could have everybody on the planet, but that's not going to happen." Discuss why it's not going to happen and what this means about using an exponential model to make predictions. ANSWER
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