Questions: The model below is used to represent a given situation, in which (t) is the independent variable. What type of model is it? [ F=C(1.08)^t ] Linear Exponential Quadratic None of these

Solution Steps

The given model \( F = C(1.08)^t \) is in the form of \( a \cdot b^t \), which is characteristic of an exponential model. The base of the exponent, 1.08, indicates growth.

The given equation is \( F = C(1.08)^t \). This equation is in the form \( a \cdot b^t \), where \( a = C \) and \( b = 1.08 \). This structure indicates that the model represents exponential growth.

In an exponential model, the variable \( t \) is in the exponent, which signifies that as \( t \) increases, \( F \) grows at a rate proportional to its current value. The base \( 1.08 \) indicates a growth factor of 8% per unit increase in \( t \).

Final Answer