A submarine is at the surface of the ocean. It begins its descent at a rate of 100 feet per minute. Write a linear model in the form d(t)=mt+b where d(t) represents the depth of the submarine relative to sea level, in feet, after t minutes into its descent. Be sure to include "d(t) =" in your answer. (Note: when the submarine is below sea level, its depth is a negative quantity)

Answer:d(t) = -100tStep-by-step explanation:The general expression for the linear model is:[tex]d(t)=mt+b[/tex]Since the submarine already starts at sea level, b=0:[tex]d(t)=mt[/tex]The constant "m" is the rate at which the submarine descends in feet per minute. Considering depth as a negative quantity, m=-100[tex]d(t)=-100t[/tex]The linear model that represents the depth of the submarine relative to sea level, in feet, after t minutes is d(t) = -100t.