Question

Joanne puts 40 bacteria in a Petri dish . The population of the bacteria is doubling every hour which function best represent the situation

Answer 1

Exponential growth ; y = 40 * 2^t

Explanation:

The scenario above is best modeled using the exponential growth formula.

Since the number of bacteria increases; then it is a growth function.

Number doubles every hour, thus gives the rate of increase.

Exponential growth relation :

y = A(1 + r)^t

A = initial amount of bacteria = number of bacteria in Joanne puts in petri dish = 40

y = amount of bacteria after time t,

(1 + r) = 2

Therefore,

y = 40 * 2^t