To find the cost systems that represent the membership fees for Workout Gym and Healthy Gym, let's analyze the given situation step-by-step.
1. Workout Gym:
- Sign-up fee: \[tex]$15
- Daily fee: \$[/tex]1 per day
To determine the total cost 'C' after 'x' days of membership, we sum the sign-up fee and the daily fees for 'x' days.
[tex]\[ \text{Cost for Workout Gym} = \$15 + (\$1 \times x) \][/tex]
This simplifies to:
[tex]\[ \text{Cost for Workout Gym} = 15 + 1x \][/tex]
or more simply:
[tex]\[ \text{Cost for Workout Gym} = 15 + x \][/tex]
2. Healthy Gym:
- Sign-up fee: \[tex]$5
- Daily fee: \$[/tex]2 per day
Similarly, to determine the total cost 'C' after 'x' days of membership, we sum the sign-up fee and the daily fees for 'x' days.
[tex]\[ \text{Cost for Healthy Gym} = \$5 + (\$2 \times x) \][/tex]
This simplifies to:
[tex]\[ \text{Cost for Healthy Gym} = 5 + 2x \][/tex]
Therefore, the systems that represent the real-world situation of membership costs for both gyms are:
- For Workout Gym: Cost = 15 + x
- For Healthy Gym: Cost = 5 + 2x
These equations accurately reflect the given sign-up and daily fees for each gym.
