Please Help !!!!!!! This is a PreCalculus question

Question

Find C and a so that f(x)=Ca^x models the situation described. State what the variable x represents in your formula.

There are initially 2500 bacteria, and this sample doubles in size every hour.

C=

a=

Answer 1

C is the starting amount, 2500

a is 2, the sample doubles (that means times 2)

x is the number of periods, here the number of hours.

Answer 2

A function is the form f(x)=a(b)^x is an exponential function where “b” is its change factor, the exponent. “x” is the independent variable, the coefficient “a” is. called the initial value (or the y-intercept).

Plugging in the values you provided.

f(x)=2500(2)^x