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 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 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 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 value 75 represents the initial number of cells before any duplication occurs (when \( x = 0 \), \( f(0) = 75 \)). The base of the exponent, 2, indicates that the number of cells doubles every minute, as each minute corresponds to an increase in \( x \) by 1.