Question

The number of bacteria in a dish tripled every 15 minutes. If the dish initially has 100 bacteria, what function models the number of bacteria, B(T) after t minutes

Answer 1

B(t) = 100 + 0.2t

Explanation:

Given

Initial = 100

Additional = 3 every 15 minutes

Required

Determine function B(t)

First, we need to determine the increment at t minutes

If

15 minutes = 3 bacteria

t minutes = x

Cross Multiply

x * 15 = 3 * t

15x = 3t

Divide both sides by 15

x = (3/15)t

x = ⅕t

x = 0.2t

So, function B(t) can be written as:

B(t) = Initial + x

Substitute values for initial at x

B(t) = 100 + 0.2t