OG详解-OG3 数学1 Q13

The correct answer is 410. It’s given that t minutes after an initial observation, the number of bacteria in a population is  60000(2)t​410​ . This expression consists of the initial number of bacteria,  60,000 ,multiplied by the expression 2t​410​  . The time it takes for the number of bacteria to double is the increase in the value of t that causes the expression  2t​410  to double. Since the base of the expression  2t​410is 2, the expression 2t​410will double when the exponent increases by 1. Since the exponent of the expression  2t​410 is t​410​ , the exponent will increase by 1 when t  increases by  410. Therefore the time, in minutes, it takes for the number of bacteria in the population to double is 410.