Stephens Savage
08/10/2023 · Elementary School
The number of customers at a restaurant \( t \) hours after opening can be modeled by \( q(t)=-3.5 t^{2}+11 t-10 \) and the average amount that each customer spends, in dollars, at time \( t \) can be modeled by \( p(t)=2 t+35 \) where \( 0 \leq t \leq 8 \). Find the rate of change of revenue when the restaurant has been open for 6 hours.
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The rate of change of revenue when the restaurant has been open for 6 hours is -1597 dollars per hour.
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