Description
M(t)= -2.45t^2+31.65t+346.5
a.) In what year was the clubs membership at its highest?
b.) how many members did the club have at the peak?
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M(t)= -2.45t^2+31.65t+346.5
The maximum is achieved for t as M'(t)=0
M'(t)=-4.90t+31.65
M'(t)=0 <=> -4.90t+31.65 <=> t=31.65/4.90=6.45=Tmax
The number of members is at its highest on the 6th year wich corresponds to 2010
M(Tmax)=448.7, the number of members should be 449 members.
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