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have y =500e-2 ~ 409. 13 What's More Activity 1 Exponential Function Defined Determine whether the given is an exponential function, an exponential equation, an exponential inequality, or none of these. 1. 49* = 72 2. 3 0, b#1. 2. Let b be a positive number not equal to 1. A of an exponential function with base b is a function of the form f(x) =a.b'" +d . 3. Common situations that lead to exponential relationships are -, and 4. The exponential model of a quantity ) which doubles every ?' units of time given y, initial amount and : units of time passed is 5. A radioactive substance decays or undergoes a change in its elements after a period of time. is the time until only half of the original amount remains unchanged. It is modeled by the equation where the y is the amount of substance remaining after / units of time, 7 units of time is the half-life of the substance, and y, is the amount of the substance corresponding to / =0. 6. If an amount P is invested at an interest rate r compounded annually, then the investment will increase to a value A, at the end of t years. It is modeled by the equation 7. An exponential function having defined by base e (an irrational number) is called the . It is of the form for all real number x. 15 What I Can Do Activity 4 Use your learning on exponential functions to answer the following: 1. You take out Php 20,000 loan at a 5% interest rate compounded annually. How much will you owe after 10 years? 2. The population (in millions) of a certain country follows the exponential growth model f(1) =14.2", t years after 1994. Predict the population in the year 2020.Additional Activity Activity 5 Use a scientific calculator to answer this activity. A large slab of meat is taken from the refrigerator and placed in a pre-heated oven. The temperature T of the slab t minutes after being placed in the oven is given by 7 =170-165e "" degrees Celsius. Construct a table of values for the following values of t: 0, 10, 20, 30, 40, 50, 60, and interpret your results. Round off values to the nearest integer