Aculture started with 5,000 bacteria. after 4 hours, it grew to 6,000 bacteria. predict how many bacteria will be present after 17 hours. round your answer to the nearest whole number.

y = 10852 bacteria

Step-by-step explanation:

The equation is exponential growth

y = a  b^x  where a is the initial amount , b is the growth rate and x is the time

At time 0, we have 5000 bacteria

5000 = a * b^0

5000 = a *1

a = 1

At 4 hours, we have 6000 bacteria

6000 = 5000 * b^4

Divide each side by 5000

6000/5000 = b^4

6/5 = b^4

Take the 4th root of each side

(6/5)^(1/4) = (b^4)^(1/4)

1.046635139 = b

Our equation is

y = 5000 (1.046635139) ^ x

We want to find the number of bacteria present after 17 hours

y = 5000 (1.046635139)^17

y=10851.51313

To the nearest whole number

y = 10852 bacteria

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right