Question

The bacteria in a culture double every day. Which function can be used to find the number of bacteria n after d days if there are initially 75 bacteria?

On=2(75)
O n = 75(g)
On = 75(2)
On= (75)"

Answer 1

n = 75(2)^d

Explanation:

Mathematically, we have the general form of an exponential equation as follows;

y = I(1 + r)^x

where I is the initial value

r is the rate percentage

x is the number of time

From the question, the bacteria population doubles

This mean it increases by 100%

100% = 1

add this to the initial 1, and we have 2

Replace I with the number 75

And d represents the days

so we have;

n = 75(2)^d