A biologist puts a certain number of DNA strands into a machine, which uses a process called PCR cycling. Each PCR cycle, the machine creates a copy of every DNA strand. All of the DNA strands (the original DNA strands and their copies) remain together in the machine, ready for more PCR cycles. If a biologist puts 1 thousand DNA strands into the machine and runs it for 4 cycles, how many DNA strands will be in the machine at the end of the process, in thousands?
Q. A biologist puts a certain number of DNA strands into a machine, which uses a process called PCR cycling. Each PCR cycle, the machine creates a copy of every DNA strand. All of the DNA strands (the original DNA strands and their copies) remain together in the machine, ready for more PCR cycles. If a biologist puts 1 thousand DNA strands into the machine and runs it for 4 cycles, how many DNA strands will be in the machine at the end of the process, in thousands?
PCR Cycling Process: Understand the process of PCR cycling.In PCR cycling, each DNA strand is duplicated, so the number of DNA strands doubles with each cycle.
First Cycle Calculation: Calculate the number of DNA strands after the first cycle.If we start with 1 thousand DNA strands, after one cycle, we will have 1 thousand ×2=2 thousand DNA strands.
Second Cycle Calculation: Calculate the number of DNA strands after the second cycle.After the second cycle, the number of DNA strands will double again. So, 2thousand×2=4thousand DNA strands.
Third Cycle Calculation: Calculate the number of DNA strands after the third cycle.After the third cycle, the number of DNA strands will double once more. So, 4thousand×2=8thousand DNA strands.
Fourth Cycle Calculation: Calculate the number of DNA strands after the fourth cycle.After the fourth cycle, the number of DNA strands will double yet again. So, 8 thousand×2=16 thousand DNA strands.
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