The function defined by N ( t ) = ( P + J ) ( t ) and interpret its meaning in context, where P ( t ) = − 0.091 t 3 + 3.48 t 2 + 15.4 t + 335 represents the number of adults in prison (in thousands) and J ( t ) = 23.0 t + 159 represents the number of adults in jail J(t) (in thousands).
The function defined by N ( t ) = ( P + J ) ( t ) and interpret its meaning in context, where P ( t ) = − 0.091 t 3 + 3.48 t 2 + 15.4 t + 335 represents the number of adults in prison (in thousands) and J ( t ) = 23.0 t + 159 represents the number of adults in jail J(t) (in thousands).
Solution Summary: The author calculates the function defined by N(t) and interprets its meaning in con.
To calculate: The function defined by N(t)=(P+J)(t) and interpret its meaning in context, where P(t)=−0.091t3+3.48t2+15.4t+335 represents the number of adults in prison (in thousands) and J(t)=23.0t+159 represents the number of adults in jail J(t) (in thousands).
b)
To determine
To calculate: The function defined by R(t)=(JN)(t) and interpret its meaning in the context of this
problem, where P(t)=−0.091t3+3.48t2+15.4t+335 represents the number of adults in prison (in thousands) and J(t)=23.0t+159 represents the number of adults in jail (in thousands).
c)
To determine
To calculate:R(25) and interpret its meaning in context and then round to 3 decimal places where P(t)=−0.091t3+3.48t2+15.4t+335 represents the number of adults in prison (in thousands) and J(t)=23.0t+159 represents the number of adults in jail J(t) (in thousands).
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