Question

Consider the function for cell duplication. The cells duplicate every minute.

f(x)=75(2)x
What do the values of 75 and 2 represent in relation to the duplication of these cells?

(1 point)
Responses

The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells double every minute.
The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells double every minute.

The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute
The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute

The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells increases by 2 every minute
The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells increases by 2 every minute

The 75 is the initial number of cells, and the 2 indicates that the number of cells increases by 2 every minute.

Answers

GPT-4o mini
The correct response is:

**The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.**

In the function \( f(x) = 75(2)^x \):

- The 75 represents the initial number of cells at time \( x = 0 \) (which is 75 cells).
- The factor of 2 indicates that the cells double in number every minute (as \( x \) increases by 1 for each minute).