Question

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 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 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 increases by 2 every minute.

Answer 1

In the function \( f(x) = 75(2)^x \), the components can be interpreted as follows:

• The 75 represents the initial number of cells at time \( x = 0 \) (which can be understood as the initial count before any duplications occur).
• The 2 indicates that the number of cells doubles every minute (this is because of the exponential growth represented by the base of 2 in the equation).

Therefore, the correct response is: The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.