Question

a culture started with 6,000 bateria after 6 hours,it grew to 7,200 .predict how many bacteria will be present after 17 hours round your answer to the nearest whole number

Answer 1

10,058

Explanation:

7200 = 6000(r)⁶

r⁶ = 1.2

r = 1.2^⅙

In 17 hours,

6000(1.2^⅙)¹⁷

10057.68696

Answer 2

10058

Explanation:

The equation is of the form

y = ab^x

Where a is the initial value, y is the final amount and x is the time

y = 6000 b^x

7200 = 6000 b^6

Divide each side by 6000

7200/6000 = b^6

1.2 = b^6

Take the 6th root on each side

1.2 ^ 1/6 = b^6 ^ 1/6

1.030853321 = b

y = 6000 (1.030853321) ^ x

Let x = 17

y = 6000 (1.030853321) ^ 17

y=10057.68696

Rounding to the nearest whole number

y = 10058