At the start of 2010, an online social group had 360 million members. Subsequently, new members joined at a rate of roughly m(t) = -6.6t2 + 12t + 260 million members per year (0 sts 5), where t is time in years since the start of 2010. (a) Find an expression for the total online social group membership M(t) at time t. HINT [See Example 6.] M(t) = (b) Use the answer to part (a) to estimate the online social group membership midway through 2014. (Round your answer to the nearest 1 million members.) M(4.5) = million members

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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At the start of 2010, an online social group had 360 million members. Subsequently, new members joined at a rate of roughly
m(t) = -6.6t2 + 12t + 260 million members per year
(0 sts 5),
where t is time in years since the start of 2010.
(a) Find an expression for the total online social group membership M(t) at time t. HINT [See Example 6.]
M(t) =
(b) Use the answer to part (a) to estimate the online social group membership midway through 2014. (Round your answer to the nearest 1 million members.)
M(4.5) =
million members
Transcribed Image Text:At the start of 2010, an online social group had 360 million members. Subsequently, new members joined at a rate of roughly m(t) = -6.6t2 + 12t + 260 million members per year (0 sts 5), where t is time in years since the start of 2010. (a) Find an expression for the total online social group membership M(t) at time t. HINT [See Example 6.] M(t) = (b) Use the answer to part (a) to estimate the online social group membership midway through 2014. (Round your answer to the nearest 1 million members.) M(4.5) = million members
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