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Workout Gym has a sign-up fee of \[tex]$15 and charges \$[/tex]1 per day for membership.
Healthy Gym has a \[tex]$5 sign-up fee and charges a \$[/tex]2 daily fee.

Which system of equations represents this real-world situation?

Sagot :

GinnyAnsweridn
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.
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