On a separate sheet of paper, set up and solve the TWO real life application problems. se the continuous growth exponential function to solve each of these problems. After solving the problem, state what you learned while doing this particular journal entry. Formula to use for both problems: A = Pert 1. POPULATION GROWTH: The city of Bakersfield, California, are studying the current and future needs of the city. The sewage system they have in place now(2018) can support 250,000 residents. The current population of the city is 175,000, up from 106,000 ten years ago. a) Assuming that the population will continue to grow at this rate, when will the sewage system need to be updated? b) How many people will the new system have to accommodate for the system to last another 15 years before needing to be updated again? 2. ECOLOGY: DDT is an insecticide that has been used by farmers. It decays slowly and it is sometimes absorbed by plants that animals and humans eat. DDT absorbed in the mud at the bottom of a lake is degraded into harmless products by bacterial action. Experimental data shows that 10% of the initial amount is eliminated in 5 years(so what would remain?) a) Find the value of k in the decay formula: y = aekt (Per with different letters) b) How much of the original amount of DDT is left after 10 years? c) The U.S. Environmental Protection Agency banned almost all use of DDT in the U.S. in 1972. If none has been used near the lake since then, in what year will the concentration of DDT fall below 25%? 3. WHAT DID YOU LEARN FROM THIS JOURNAL ENTRY? (At least 2 complete sentences.) RUBRIC for 10 points: 4 points for solving each question; 2 points for stating what you learned