Health The eating behavior of a typical human during a meal can be described by

I(t)=27+72t-1.5t^2 ,

Where t is the number of minutes since the meal began and I(t) represents the amount (in grams) that the person has eaten at time t.

a.Find the rate of change of the intake of food for a person 5 minutes into a meal, and interpret it.
b.Verify that the rate at which food is consumed is zero 24 minutes after the meal starts.
c.Comment on the assumptions and usefulness of this function after 24 minutes. On the basis of your answer, determine a logical range for the function

Question

Health The eating behavior of a typical human during a meal can be described by 

I(t)=27+72t-1.5t^2  ,

Where t is the number of minutes since the meal began and I(t) represents the amount (in grams) that the person has eaten at time t.

a.Find the rate of change of the intake of food for a person 5 minutes into a meal, and interpret it.
b.Verify that the rate at which food is consumed is zero 24 minutes after the meal starts.
c.Comment on the assumptions and usefulness of this function after 24 minutes. On the basis of your answer, determine a logical range for the function