4. Which model (linear,quadratic, or exponential) would best describe each situation? Why? Match each description with a graph. a) a runner slowing down by half her speed every 5 s b) the speed of an airplane speeding up by 10km/h each second c) the path of a soccer ball when kicked d) the population of a town that increases by 2% every year A B C D

To determine which model (linear, quadratic, or exponential) best describes each situation, we need to analyze the nature of the changes described in each scenario. Here are the descriptions matched with their corresponding models and graphs:a) A runner slowing down by half her speed every 5 seconds:- This situation describes a process where the speed is halved at regular intervals, which is characteristic of an exponential decay model.- **Model: Exponential**- **Graph: D** (Exponential decay graph)b) The speed of an airplane speeding up by each second:- This situation describes a constant rate of increase in speed, which is characteristic of a linear model.- **Model: Linear**- **Graph: A** (Linear graph)c) The path of a soccer ball when kicked:- The trajectory of a kicked soccer ball typically follows a parabolic path due to the influence of gravity, which is characteristic of a quadratic model.- **Model: Quadratic**- **Graph: B** (Parabolic graph)d) The population of a town that increases by every year:- This situation describes a process where the population grows by a fixed percentage each year, which is characteristic of an exponential growth model.- **Model: Exponential**- **Graph: C** (Exponential growth graph)In summary:- a) Exponential (Graph D)- b) Linear (Graph A)- c) Quadratic (Graph B)- d) Exponential (Graph C)