The population P (in thousands) of a certain city from 2000 through 2014 can be modeled by P = 150.3ek, where t represents the year, with t = 0 corresponding to 2000. In 2008, the population of the city was about 161,050. (a) Find the value of k. (Round your answer to four decimal places.) K = Is the population increasing or decreasing? Explain. Because k is positive, the population is increasing. Because k is positive, the population is decreasing. O Because k is negative, the population is decreasing. Because k is negative, the population is increasing. (b) Use the model to predict the populations of the city (in thousands) in 2020 and 2025. (Round your answers to three decimal places.) 2020 P = thousand people 2025 P = thousand people Are the results reasonable? Explain. The populations are reasonable if it continues to increase at the same rate from the year 2020 to 2025. O The populations are not reasonable. The population cannot continue to increase at the same rate it did from the year 2020 to 2025. (c) According to the model, during what year will the population reach 280,000? Need Help? Read It Show My Work (Required) ? What steps or reasoning did you use? Your work counts towards your score. You can submit show my work an unlimited number of times. Uploaded File (10 file maximum) No Files to Display Upload File Show My Work has not been graded yet. Uploaded File (10 file maximum) No Files to Display