The number of bacteria in a refrigerated food product is given by N(T) = 29T^2 + 161T + 98, where T is the temperature of the food when the food is removed from the refrigerator. The temperature is given by T(t) = 4t + 1.6, where t is the time in hours. Find the composite function N(T(t)): N(T(t)) Find the number of bacteria after 4.6 hours. Give your answer accurate to the nearest whole value.
Added by Daniel R.
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To do this, we will substitute the expression for T(t) into the function N(T). N(T(t)) = N(4t + 1.6) Now, we will substitute this expression for T into the function N(T): N(T(t)) = 29(4t + 1.6)^2 + 161(4t + 1.6) + 98 Show more…
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