A bacteria sample can be modeled by the function ƒ(x) = 350(1.20)^x which gives the number of bacteria in the sample at the end of x days.

Question

Which statement is the best interpretation of one of the values in this function?
Responses
A The initial number of bacteria is 350.The initial number of bacteria is 350.
B The number of bacteria at the end of one day is 350.The number of bacteria at the end of one day is 350.
C The initial number of bacteria decreases at a rate of 20%.The initial number of bacteria decreases at a rate of 20%.
D The number of bacteria increases at a rate of 120% each day.

Answer 1

The correct interpretation of the function \( f(x) = 350(1.20)^x \) relates to the initial number of bacteria and the growth rate.

• The coefficient 350 represents the initial number of bacteria when \( x = 0 \).
• The factor \( 1.20 \) indicates that the number of bacteria increases by 20% each day.

Given these interpretations, the best statement is:

A: The initial number of bacteria is 350.