1. At their closest points, two planets are approximately 6.5 × 108 kilometers apart. Write the distance in standard form. A. 65,000,000 B. 650,000 C. 650,000,000 D. 6,500,000 Hint 2. Evaluate . A. B. C. -7 D. 7 Hint 3. Which equation is represented by the graph? A. y = 2ex B. y = -2ex C. y = 2e D. y = -2e-x Hint 4. Describe a situation that could be modeled by the equation A = 1000e0.08t. A. the amount in an account after \$t is invested at 8% compounded continuously for 10 years B. the amount in an account after \$1000 is invested at 8% compounded continuously for t years C. the amount in an account after \$8000 is invested at t% compounded continuously for 8 years D. the amount in an account after \$8000 is invested at 10% compounded continuously for t years Hint 5. Graph y = log10 (x + 3). A. B. C. D. Hint 6. Solve the equation 34x = 8x - 5 by using natural logarithms. A. -3.4271 B. -4.4912 C. -2.9412 D. -4.3150 Hint 7. Suppose the population in a city can be modeled by the equation y = 15,000(1.02)x, where x is the number of years since 1950. Predict the population in 2010. A. 49,215 B. 33,967 C. 523,333 D. 5,486 Hint 8. Which inequality represents the graph shown? A. y 2x - 3 B. y < 2x + 3 C. y 2x - 3 D. y > 2x + 3 Hint 9. Which inequality represents the graph shown? A. y > 3-x B. y < 3-x C. y > -3x D. y < -3x Hint 10. Write the equation in exponential form. A. B. C. D. Hint 11. Solve 46x = 496. A. 4.4771 B. 3.6413 C. 0.6472 D. 0.7462 Hint 12. Solve 7x = 6x + 2. A. -23.2469 B. -27.4312 C. 11.6234 D. 23.2469 Hint 13. Convert log4364 to a natural logarithm and evaluate. A. 4.4889 B. 0.2351 C. 4.2559 D. 4.2539 Hint 14. The Consumer Prime Index between 1950 and 1966 can be modeled by the exponential function y = 20.48e0.0442x, where x is the number of years since 1950. Predict the CPI in 2013. A. 331.6 B. 27.1 C. 516.0 D. 20.0 Hint