Final answer:
The bacteria population growth function given the initial population of 10,000 and tripling each day is f(d) = 10,000 × 3^d.
Step-by-step explanation:
The student is asking for a function that represents the growth of a bacteria population that triples each day, starting with a population of 10,000.
To write this function, we will use an exponential growth model.
The general form of this model is f(d) = P × r^d, where P is the initial population, r is the rate of growth, and d is the number of days.
For our specific example, the initial population is 10,000, and the rate of growth is a tripling each day, so r is 3. The function will, therefore, be:
f(d) = 10,000 × 3^d
This function f(d) will give us the population of the bacteria after d days.