Posted by Denis Borris on November 11, 2002 at 15:37:10:
In Reply to: insect word problem posted by Sheila on November 10, 2002 at 17:46:30:
: Help, please. I have a word problem concerning insect larvae survival. Soon after they hatch, they must search for food. The survival rate depends on many things and environmental temperature is one of them. For a certain speces of insect, a model of the number of larvae N(T) that survive the searching period is given by N(T) = -0.6T^2 + 32.1T - 350 where T is the temperature in degrees Celsius. I have to answer the following questions:
: a. At what temperature will the maximum number of larvae survive and round my answer to the nearest degree.
: b. What is the maximum number of surviving larvae and round my answer to the nearest whole number.
: c. Find the x-intercepts to the nearest whole number, for the graph of this function.
: d. Write a sentence that describes the meaning of the x-intercept in the context of this problem.
: I am totally clueless as to how to work this in order to answer these questions. Any help would be appreciated.