Someone please help me with this, it’s due tomorroww I need someone experttt

59 minutes

Step-by-step explanation:

We would apply the formula,

y = ab^t

Where

a represents the initial amount of bacteria.

t represents the doubling time.

From the information given

a = 10000000

t = 20 minutes

Since after 20 minutes, the population doubles, then

y = 2 × 10000000 = 20000000

Therefore

20000000 = 10000000 × b^20

2 = b^20

Raising both sides of the equation by 1/20, it becomes

2^(1/20) = b

The equation becomes

y = 10000000 × 2^(1/20)×t

y = 10000000 × 2^(t/20)

Therefore, the time it will take to get to 67 million microbes would be

67000000 = 10000000 × 2^(t/20)

67000000/10000000 = 2^(t/20)

6.7 = 2^(t/20)

6.7 = 2^(0.05t)

Taking log to base 10 of both sides, it becomes

Log 6.7 = 0.05t log 2

0.826 = 0.05t × 0.301

0.01505t = 0.826

t = 0.826/0.01505

t = 54.88

t = 59 minutes

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