Answer:
The function f(t) = 35 • 1.044 can be rewritten in the form f(x) = a b* by letting x represent the power to which the base (b) is raised.
First, we need to identify the base and the exponent. The base is the number being multiplied by the coefficient (a), which is 1.044 in this case. The exponent is the variable t, which represents the power to which the base is raised.
To rewrite the function in the form f(x) = a b*, we can substitute x for t and rewrite the function as f(x) = 35 • 1.044^x. This is now in the form of a base (b) raised to a power (x), with a coefficient (a) of 35.
We might want to rewrite a function in this form in order to better understand the behavior of the function as the exponent (x) changes. For example, if we graphed f(x) = 35 • 1.044^x, we could see how the value of f changes as x increases or decreases. We could also use this form to make predictions about the function's behavior for different values of x.