1. **Problem Statement:** We have a farm with 4 chickens initially, and every month 2 more chickens are added. The total number of chickens after $m$ months is given by the function: $$c = 2m + 4$$ We need to create a table of values, describe the relationship, and determine if the function is linear. 2. **Create a Table of Values:** Substitute values of $m$ (months) into the equation to find $c$ (chickens). | $m$ (months) | $c = 2m + 4$ (chickens) | |--------------|-------------------------| | 0 | $2(0) + 4 = 4$ | | 1 | $2(1) + 4 = 6$ | | 2 | $2(2) + 4 = 8$ | | 3 | $2(3) + 4 = 10$ | | 4 | $2(4) + 4 = 12$ | 3. **Describe the Relationship:** The function $c = 2m + 4$ shows that the number of chickens increases by 2 every month starting from 4 chickens. This is a constant rate of change, meaning the chickens increase steadily over time. 4. **Is the Function Linear?** Yes, the function is linear because it can be written in the form $c = mx + b$, where $m = 2$ is the slope (rate of change) and $b = 4$ is the y-intercept (initial value). The graph of this function is a straight line with a constant slope. **Final answer:** The function is linear, increasing by 2 chickens each month starting from 4 chickens.