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REVIEW 8.1 to 8.3 1. Identify the initial amount a and the growth factor b in the exponential function 2. Graph the exponential function 3. Suppose the population of a town is 2,700 and is growing 4% each year. Write an equation to model the population growth. Predict the population after 12 years. 4. Write an exponential function 6). for a graph that includes (1, 15) and (0, 5. Find the annual percent increase or decrease that models. 6. For an annual rate of change of –31%, find the corresponding growth or decay factor. 7. Use a graphing calculator. Use the graph of decimal places. to evaluate 8. Write the equation in logarithmic form. 9. Write the equation in exponential form. to four 10. A boat costs $15,500 and decreases in value by 10% per year. How much will the boat be worth after 5 years? 11. The half-life of a certain radioactive material is 85 days. An initial amount of the material has a mass of 801 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 10 days. Round your answer to the nearest thousandth. 12. Suppose you invest $3,800 principal earning 2%, compounded quarterly. Find the balance in the account after 7 years. 13. Suppose you invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years? Evaluate the logarithm. 14. 15. 16. log 0.01