Modeling Project: Linear vs Exponential Objective In this project, you will apply your knowledge of linear and exponential models to a realworld scenario. You will create both a linear and an exponential model for the same scenario and compare their predictions. Scenario Consider the scenario of a new coffee shop. The shop currently has 100 customers per day, and each day it gains 5 more customers (linear growth). However, another prediction suggests that the number of customers is actually increasing by 5% each day (exponential growth). Instructions 1. Linear Model: Create a linear model to represent the growth of the coffee shop's customers. Use the equation y = mx + b, where m is the slope (the daily increase in customers), b is the y-intercept (the initial number of customers), and y is the predicted number of customers after x days. 2. Exponential Model: Create an exponential model for the same scenario. Use the equation y = a * b^ x, where a is the initial amount (the initial number of customers), b is the growth factor (1 plus the daily growth rate as a decimal), and y is the predicted number of customers after x days. 3. Comparison: Compare the predictions of the linear model and the exponential model for 1 week, 1 month, and 6 months. Which model predicts more growth? 4. Report: Write a report detailing your models, your calculations, and your findings. Include graphs of both models. Submission Write a report to share your findings or prepare a PowerPoint stack or similar type of presentation to submit your project and share your findings with the class. Be sure to explain how you used linear and exponential models in this project.