1. **State the problem:** Calculate the total cost of a gym membership for one year, given a sign-up fee of 25 and a monthly fee of 15. 2. **Formula:** Total cost = Sign-up fee + (Monthly fee \times Number of months) 3. **Apply values:** Number of months in one year = 12 4. Calculate monthly fees for one year: $$15 \times 12 = 180$$ 5. Add the sign-up fee: $$25 + 180 = 205$$ 6. **Answer:** The total cost for one year is 205. This matches the choice $205 in the multiple-choice options.