Final answer:
The formula for the exponential function of the form A = f(t) = I * B^t is A = 16 * (7/3.5)^t. The correct answer is (a) A = 16 * (7/3.5)^t.
Step-by-step explanation:
The formula for an exponential function of the form A = f(t) = I * B^t is A = 16 * (7/3.5)^t. To determine the value of B, we can use one of the given points and solve for B. Let's use the point (3.5, 16).
When t = 3.5, A = 16. Plugging these values into the formula, we get 16 = 16 * (7/3.5)^3.5. Simplifying the equation, we have 1 = (7/3.5)^3.5. Solving for B, we find that B = 7/3.5.
So the formula for the exponential function is A = 16 * (7/3.5)^t, which means the correct answer is (a) A = 16 * (7/3.5)^t.