4. Solve the following exponential equations. b. A house purchased for $226,000 has lost 3% of its value each year for the past 5 years. What a. 92x-5 =27 b. 43045 _81x-3 is the house worth now? c. Most cars decrease in value after you leave the dealer. However, some cars are now c. (4)" 3 =1 d. 37 42_ 1 considered "classics" and actually increase in value. You have the choice of owning two cars: A 16 2006 Mazda Maita which is worth $19,000 but is depreciating 10% per year, or a classic 1970 Ford Mustang which is worth $11,500 and is increasing in value by 6% each year. Write an equation to represent the value of each car over time. Create tables and draw a graph to represent the value of each car for ten years on the same set of axes. e. (4)2 +1=5 f. x 2" -4(2" )=0 5. Solve the following word problems. a. The number of bacteria present in a colony is 180 at 12 noon. The bacteria grows at a rate of 23% per hour. How many will be present at 8pm? Use your graph to determine approximately when the Mazda and the Ford have the same valueAssignment: Exponentials 1. Create an equation that represents an exponential growth. Then draw its graph. Describe the features of an exponential growth: increasing, decreasing, asymptotes, etc. How is it different from a linear or quadratic function? 2. Create an equation that represents an exponential decay. Then draw its graph. Describe the features of an exponential growth: increasing, decreasing, asymptotes, etc. How is it different from a linear or quadratic function? 3. What is the formula for an exponential growth and an exponential decay formula? What are the similarities and differences