Question

The expression below represents the number of bacteria in a petri dish after t hours.

Interpret the meaning of the expression.

A. The initial number of bacteria is 57, and the growth rate is 3.1% per hour.
B. The initial number of bacteria is 57, and the growth rate is 31% per hour.
C. The initial number of bacteria is 131, and the growth rate is 5.7% per hour.
D. The initial number of bacteria is 131, and the growth rate is 57% per hour.

Answer 1

A

Explanation:

Answer 2

Solving this problem requires the supplement of the actual expression. However I believe you forgot to include it with the question.

However I believe that the expression is in the form of:

y = A e^(-k t)

where,

y is the number of bacteria after time t

A is a constant and represents the initial number of bacteria

k is the growth rate in decimal form

t is time

So whatever is located in A is the initial number of bacteria, while k times 100% is the growth rate.