1. **State the problem:** We want to find the function $C(n)$ that models the total cost to a customer who attends $n$ workout sessions at a gym. 2. **Given information:** - There is a membership fee (a fixed cost). - Each workout session costs an additional 5. - Manny paid a total of 60 for 5 sessions. 3. **Define variables and formula:** Let $m$ be the membership fee. The cost function is: $$C(n) = m + 5n$$ where $n$ is the number of sessions. 4. **Use the given data to find $m$:** Substitute $n=5$ and $C(5)=60$: $$60 = m + 5 \times 5$$ $$60 = m + 25$$ 5. **Solve for $m$:** $$m = 60 - 25$$ $$m = 35$$ 6. **Write the final cost function:** $$C(n) = 35 + 5n$$ 7. **Interpretation:** The membership fee is 35, and each session adds 5 to the total cost. 8. **Plot points:** Calculate $C(n)$ for some values of $n$: - $C(0) = 35 + 5 \times 0 = 35$ - $C(1) = 35 + 5 \times 1 = 40$ - $C(2) = 35 + 5 \times 2 = 45$ - $C(3) = 35 + 5 \times 3 = 50$ - $C(4) = 35 + 5 \times 4 = 55$ - $C(5) = 35 + 5 \times 5 = 60$ These points can be plotted to show the linear relationship.