Question
A bacteria sample can be modeled by the function ƒ(x) = 275(1.15)
which gives the number of bacteria in the sample at the end of x days.
Which statement is the best interpretation of one of the values in this function?
Responses
A The initial number of bacteria is 15.The initial number of bacteria is 15.
B The number of bacteria at the end of one day is 275.The number of bacteria at the end of one day is 275.
C The number of bacteria decreases at a rate of 15% each day.The number of bacteria decreases at a rate of 15% each day.
D The number of bacteria increases at a rate of 15% each day.
which gives the number of bacteria in the sample at the end of x days.
Which statement is the best interpretation of one of the values in this function?
Responses
A The initial number of bacteria is 15.The initial number of bacteria is 15.
B The number of bacteria at the end of one day is 275.The number of bacteria at the end of one day is 275.
C The number of bacteria decreases at a rate of 15% each day.The number of bacteria decreases at a rate of 15% each day.
D The number of bacteria increases at a rate of 15% each day.
Answers
GPT-4o mini
The correct interpretation of the function \( ƒ(x) = 275(1.15)^x \) is:
**D. The number of bacteria increases at a rate of 15% each day.**
This is because the term \( (1.15)^x \) indicates that the population of bacteria grows by 15% for each additional day, starting from the initial amount of 275.
**D. The number of bacteria increases at a rate of 15% each day.**
This is because the term \( (1.15)^x \) indicates that the population of bacteria grows by 15% for each additional day, starting from the initial amount of 275.