Respuesta :

Answer:

Number of bacteria when t = 10 min is 3,000

Step-by-step explanation:

Given:

Number of bacteria in a culture by equation

Q(t) = 2(729^t)

Value of t = 10 min = 10 / 60 = 0.1667 hour

where t is number of hours

Find:

Number of bacteria when t = 0.1667 hour

Computation:

Given equation

Q(t) = 2(729^t)

Put t = 0.1667

Q(10) = 2(729⁰'¹⁶⁶⁷)

We know that;

a⁰ = 1

So,

Q(0.1667) = 2(729⁰)

Q(0.1667) = 3

Number of bacteria when t = 0 is 3,000