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Algebra 2 Quiz 8.1-8.3 Show all work and reasoning to receive full credit! Name _____________________________________ Determine whether each equation represents exponential growth or exponential decay. What percent increase or decrease does the function model? 1. y = 70(0.60)x ______________ 2. y = 12(1.34)x _____________ Percent ________________ Percent _______________ Write an exponential equation whose graph passes through the given points. 3. (1, 5), (2, 10) 4. The bear population increases at a rate of 2% per year. There are 1573 bears this year. Write a function in the form y ab x that models the bear population. How many bears will there be in 10 yr? 5. A new truck that sells for $29,000 depreciates 12% each year. Write a function that models the value of the truck. Find the value of the truck after 7 yr. 6. I-123 is used in thyroid scans. It has a half-life of 13.2 h. Write the exponential decay function for a 45-mg sample. Find the amount remaining after 5 h. 7. Suppose you invest $5000 at an annual interest of 6.9%, compounded continuously. How much will you have in the account after 10 years? Evaluate to four decimal places. 8. e2.4 Write in logarithmic form. 9. 62 = 36 Write in exponential form. Evaluate. Evaluate. 10. log2 128 7 11. log9 27 12. log 4 1 8