Suppose that a virus doubles every 3 hours. If a person has 30 virus cells, how many will he have after 9 hours?
I got 810,000.
30*30=900
900*900=810,000
or would it be 240 since
30*2=60
60*2=120
120*2=240
Viruses = 30 * 9/3 * 2 = 180
In typing exponents, we use the ^ to show exponentiation
e.g. 2^3 = 2 cubed
number = 30(2)^(t/3) where t is the number of hours
number = 30(2)^3)
= 30(8) = 240
Or
Just do it using basic concepts, like you did in your second solution:
now --- 30
after 3 hours --- 60
after 6 hours --- 120
after 9 hours ---- 240
Thank you, both of you!
To find out how many virus cells a person will have after 9 hours, you need to determine how many times the virus doubles within that time frame.
Since the virus doubles every 3 hours, we can divide 9 by 3 to find out how many times the virus doubles within this time frame: 9 / 3 = 3 times.
To calculate the number of virus cells a person will have after each doubling, you can use the formula: initial number of virus cells * 2.
Starting with 30 virus cells, the number of virus cells after each doubling within 9 hours would be:
1st doubling: 30 * 2 = 60 virus cells
2nd doubling: 60 * 2 = 120 virus cells
3rd doubling: 120 * 2 = 240 virus cells
So, after 9 hours, the person would have approximately 240 virus cells.
It seems there was a mistake in your calculation. Multiplying 30 by 30 and further multiplying by 900 would result in a much larger number, which is not accurate in this scenario.