1. **State the problem:** We need to find a pricing structure for Faster Fitness so that the total cost for 14 classes is the same as Drop In Fitness. 2. **Given:** Drop In Fitness charges a membership fee of 90 and 5 per class. 3. **Calculate total cost for Drop In Fitness for 14 classes:** $$\text{Total cost} = 90 + 5 \times 14$$ $$= 90 + 70 = 160$$ 4. **Define variables for Faster Fitness:** Let the membership fee be $m$ and the cost per class be $c$. 5. **Set up equation for Faster Fitness total cost for 14 classes:** $$m + 14c = 160$$ 6. **Justification:** Any pair $(m, c)$ satisfying the equation above will make the total cost for 14 classes equal to Drop In Fitness. 7. **Example:** If Faster Fitness charges a membership fee of 60, then the cost per class is: $$60 + 14c = 160$$ $$14c = 160 - 60 = 100$$ $$c = \frac{100}{14} = \frac{\cancel{100}}{\cancel{14}} \approx 7.14$$ 8. **Interpretation:** Faster Fitness could charge a membership fee of 60 and about 7.14 per class to match the total cost of Drop In Fitness for 14 classes. 9. **Summary:** The pricing structure for Faster Fitness must satisfy $$m + 14c = 160$$ where $m$ is the membership fee and $c$ is the cost per class.