How to solve exponential model ?

a. Construct an exponential model for Lafayette's population. Hint: time is measured in decades. b. Use your model to predict Lafayette's population in 2020 (which is 20 years or 2 decades since the start of the model) if the percent increase stays the same. 5. Frogs - A species of frog's population grows 24% every year. Suppose 100 frogs are released into a pond a. Construct an exponential model for this population. b. How many frogs will there be in 5 years? Round to whole number. C. How many frogs will there be in 10 years? Round to whole number. d. About when will there be 1000 frogs? (Between what 2 years) 6. The half-life of a radioactive substance is one day, meaning that everyday half of the substance has decayed. Suppose you have 100 grams of this substance. a. Construct an exponential model for the amount of the substance remaining on a given day. b. How much of the substance would be left after a week? Round to 2 decimals. 7. A certain vehicle loses 35% of its value each year. . If the vehicle has an initial value of $25,000, construct a model that represents the value after t years. b. Compute the value of the vehicle at the end of the 3rd year. Round to nearest dollar. 8. Atmospheric pressure decreases by about 12% for every kilometer you climb. The pressure at sea level is about 1013 atmospheres. (Lett = number of kilometers above sea level.) Round to 1 decimal place on 8b- d. a. Construct a model to represent the atmospheric pressure at a given altitude in kilometers. b. How many atmospheres of pressure will you feel at 5.895 kilometers? (Top of Mt. Kilimanjaro) C. How many atmospheres of pressure will you feel at 8.848 kilometers? (Top of Mt. Everest) d. How many atmospheres of pressure will you feel at 0.383 kilometers? (highest point in Indiana) 9. Bryan invests $5000 in an account earning 4% interest. If he makes no additional deposits or withdrawals find the balance in the account after 15 years if the account is: (Round to nearest cent.) a. Compounded annually. b. Compounded quarterly. c. Compounded monthly. h 123 HW & Project Packet 32 Summer