enVision Algebra 1 8-5 Additional Practice Comparing Linear, Exponential, and Quadratic Models m-u Use a table to determine whether the function below is linear, quadratic, or exponential. Then, use regression to find the function that models the data. Differences Differences 1st 2nd Ratio 1st 2nd Ratio 0 28 2 49 23 4 90 4 41 3 Differences X 1st 2nd Ratio 0 0.25 2 0.0625 3 0.0156 4 0.0039 4. The data in the table represent the population of a town for the X past five years. When the population reaches 100,000 the town 1 85,000 can be reclassified as a city. Does this situation suggest a linear, 2 88,000 exponential, or quadratic function model? Will the town be 3 87,000 reclassified as a city in the next 8 years? 4 92,000 5. Consider linear, quadratic, and exponential functions. 5 93,000 a. What type of function would best model the area of a figure? b. What type of function would best model the perimeter of a figure? 6. Compare the rates of change for f(x) = 2x + 4, g(x) = 2x2 + 4, and h(x) = 2* over the interval x = 3 to x = 5. Which function has the greatest rate of change