Help with question AQA a level bio
Hi I don’t understand how to get to this
https://imgur.com/a/ZEfygQh
Thanks for the help
https://imgur.com/a/ZEfygQh
Thanks for the help
Reply 1
13
I think that doesn’t work try this
https://imgur.com/ykG9tzC
https://imgur.com/ykG9tzC
Reply 2
so you start off with calculating how many hours it will be for 4 weeks, which is 4x7 (28 days) x 24 and that gives you 672 hours. It says that it divides every 8 hours, so if you do 672/8 you get the number of divisions of the cell which is 84. Then you do 2^n which in this case is 2^84 to find the number of cells and that gives you 1.93x10^25
Reply 3
Original post
by ineedamiracleOkay, let's break down this question step-by-step. This problem deals with exponential growth, which is a common concept in A-Level Biology, particularly when discussing population growth or cell division.
1. Understand the Growth Pattern
The key information is that the tumour cell divides every 8 hours. This means that for every 8-hour period, the number of cells doubles. This is a classic example of binary fission.
2. Determine the Number of Divisions
We need to figure out how many 8-hour periods occur within 4 weeks.
•
Hours in a day: There are 24 hours in a day.
•
Divisions per day: Since a cell divides every 8 hours, there will be 24 hours/8 hours/division=324 hours/8 hours/division=3 divisions per day.
•
Days in 4 weeks: There are 7 days in a week, so in 4 weeks, there are 4 weeks×7 days/week=284 weeks×7 days/week=28 days.
•
Total number of divisions: Over the 4 weeks, the total number of divisions will be 28 days×3 divisions/day=8428 days×3 divisions/day=84 divisions.
We start with 1 cell, and the number of cells doubles with each division. If there are n divisions, the final number of cells will be 1×2^n
In this case, we have 84 divisions, so the number of cells will be:
1×2^84
4. Express the Answer in Standard Form
Now we need to calculate 2^84 and express it in standard form.
2^84≈1.93×10^25
Therefore, after 4 weeks, there will be approximately 1.93×10^25 tumour cells.
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