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The number of bacteria in an experiment can be represented by the formula Nt+1=2.5Nt. In the formula, Nt is the number of bacteria at the end of t minutes, and Nt+1 is the number of bacteria at the end of t+1 minutes. There are 16,400 bacteria in the experiment at the end of 7 minutes. How many bacteria will be in the experiment at the end of 10 minutes?

 

a) 23,429

b) 102,500

c) 123,000

d) 256,250

 

Could you explain how to solve the problem? Thank you!

 Jan 8, 2018

Best Answer 

 #2
avatar+7347 
+1

Also...usually these confuse me, so I have to do it like this...

 

Nt+1   =   2.5Nt

 

N7+1   =   2.5N7   =   2.5(16,400 )   =   N8

 

N8+1   =   2.5N8   =   2.5( 2.5(16,400 ) )   =   N9

 

N9+1   =   2.5N9   =   2.5( 2.5( 2.5(16,400 ) ) )   =   N10   =   2.53 * 16,400   =   256,250   smiley

 Jan 8, 2018
 #1
avatar+94558 
+2

Note  that the number of bacteria every minute increase by a factor of 2.5

 

So......in 10 minutes  (3 minutes after 7 minutes), there are

 

16400 * 2.53 =  256,250  bacteria

 

 

cool cool cool

 Jan 8, 2018
 #2
avatar+7347 
+1
Best Answer

Also...usually these confuse me, so I have to do it like this...

 

Nt+1   =   2.5Nt

 

N7+1   =   2.5N7   =   2.5(16,400 )   =   N8

 

N8+1   =   2.5N8   =   2.5( 2.5(16,400 ) )   =   N9

 

N9+1   =   2.5N9   =   2.5( 2.5( 2.5(16,400 ) ) )   =   N10   =   2.53 * 16,400   =   256,250   smiley

hectictar Jan 8, 2018

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