Question 1 10 Points A research lab grows a type of bacterium in culture in a circular region. The radius of the circle, measured in centimeters, is given by r (1 ) = 5 - 6 12 + 3' , where t is time measured in hours passed since a circle of a 1cm radius of the bacterium was put into the culture. Express the area, A ( t) , of the bacteria as a function of time, and find the approximate area of the bacterial culture in 4 hours. A At = x(5 - 1 2 + 3 and Area after 4 hours = 14.72, cm2 B A (1 = 27(5 - 6 12 + 3 and Area after 4 hours = 29.43, cm2 A(1) = 7 5 - - 6 2 and Area after 4 hours = 68.93, cm2 1 2 + 3 D A (1) = 27 5 - 6 and Area after 4 hours = 137.86, cm 12 + 3