Question

In the function

f(t)=2500×1.2 t
, what does the 1.2 represent?
A) The number of rabbits after time t has passed.
B) The amount of time that passes before the population grows.
C) A constant describing exponential growth.
D) The initial number of rabbits in the population.

Answer 1

In the function f(t)=2500×1.2t, 1.2 is a constant indicating a 20% exponential growth per time period, not related to the initial amount, amount of time passing before growth, or number of rabbits.

Step-by-step explanation:

In the function f(t)=2500×1.2t, the 1.2 represents a constant describing exponential growth. This constant is the base of the exponential function, indicating that each unit increase in the variable t, corresponds to the quantity being multiplied by 1.2. In other words, for every time period that passes, the function's output is multiplied by 1.2, which demonstrates a growth rate of 20% per time period. Thus, for this function, the correct answer is C) A constant describing exponential growth.