## A function has a constant tripling time. What type of function does this represent ? A. Expontential decay B. Decreasing linear

Question

A function has a constant tripling time. What type of function does this represent ?
A. Expontential decay
B. Decreasing linear
C. Increasing linear
D. Exponential growth

0

A constant tripling time means that there is a time T, a quantity triples when t = T, then triples again when t = 2T, and again when t = 3T.

Then if A is the initual cuantity; we have a function of the form

f(t) = A*3^(t/T)

and you can see that:

f(0) = A

f(T) = A*3

f(2T) = A*3^2 = (A*3)*3

and so on:

This function describes an exponential growth (because f(t) increases exponentialy over time)

2. Answer: This represented a exponential growth function.

Step-by-step explanation:

Exponential growth is demonstrated when the rate of change of the value of any mathematical function[the change per unit of time] is proportional to the function’s present value, resulting in its value at any time being an exponential function of time or becomes a function in which the time value is the exponent.

Given : A function has a constant tripling time. So it is highly increasing (exponentially) with the time i.e. the function is exponential function.