Question

a culture started with 6000 bacteria after 6 hours it grew to 7200 bacteria predict how many bacteria will be present after 17 hours

Answer 1

First find the rate of growth using the formula of
A=p e^rt
A 7200
P 6000
E constant
R rate of growth?
T time 6 hours
We need to solve for r
R=[log (A/p)÷log (e)]÷t
R=(log(7,200÷6,000)÷log(e))÷6
R=0.03 rate of growth

Now predict how many bacteria will be present after 17 hours using the same formula
A=p e^rt
A ?
P 6000
R 0.03
E constant
T 17 hours
A=6,000×e^(0.03×17)
A=9,991.7 round your answer to get
A=9992

Answer 2

Hey there!

In order to solve this, we'll have to find how many additional bacteria the culture gains per hour. We can do this with some simple math:

7200 – 6000 = 1200

1200 ÷ 6 = 200

The culture gains 200 more bacteria per hour. Now, just multiply that by 17 hours and add that to the initial amount in the culture. 

200 × 17 = 3400

3400 + 6000 = 9400

There will be a total of 9400 bacteria in the culture after 17 hours. 

Hope this helped you out! :-)