A bicycle rider rides away from home along a highway and back along the same road in such a way that her distance from home at time t is given by x(t) = t- 8(Equation:eqn= height-32,width-24,size-14,bgcolor=#FFFFFF.title-eqn_2,controls-false)+ 16(Equation:eqn- t,height-32,width-24,size-14,bgcolor-#FFFFFF,title-eqn_3,controls-false) where t is in hours and x is in kilometers. When does her maximum speed occur? 2 hours out

Question
A bicycle rider rides away from home along a highway and back along the same road
in such a way that her distance from home at time t is given by
x(t) =
t- 8(Equation:eqn=
height-32,width-24,size-14,bgcolor=#FFFFFF.title-eqn_2,controls-false)+
16(Equation:eqn-
t,height-32,width-24,size-14,bgcolor-#FFFFFF,title-eqn_3,controls-false)
where t is in hours and x is in kilometers.
When does her maximum speed occur?
2 hours out
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Transcribed Image Text

A bicycle rider rides away from home along a highway and back along the same road in such a way that her distance from home at time t is given by x(t) = t- 8(Equation:eqn= height-32,width-24,size-14,bgcolor=#FFFFFF.title-eqn_2,controls-false)+ 16(Equation:eqn- t,height-32,width-24,size-14,bgcolor-#FFFFFF,title-eqn_3,controls-false) where t is in hours and x is in kilometers. When does her maximum speed occur? 2 hours out

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