After alcohol is fully absorbed into the body, it is metabolized with a half-life of 1.5 hours. Suppose Tom consumes 30 mL of alcohol (ethanol) and Ted consumes 15 mL. Ask and answer at least five mathematical questions about this scenario. For a certain type of tree the diameter D (in feet) depends on the tree's age t (in years) according to the logistic growth model D(t) = 5.4/1 + 2.9(1.01009)^-1. Ask and answer at least three mathematical questions about this scenario.

Tom consumed 30 ml of alcohol and Ted consumed 15 ml of alcohol; Half life of alcohol = 1.5 hours; this means the alcohol will reduce to 50% of its value in 1.5 hours;

1) After 1.5 hours how much alcohol will be left in Tom's body 2) After 1.5 hours how much alcohol will be left in Ted's body 3) After 3 hours how much alcohol will be left in Tom's body 4) After 3 hours how much alcohol will be left in Ted's body 5) After 6 hours how much alcohol will be left in both their bodies respectively;

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