Question
The equation C = 50m represents the monthly cost of membership at Jane’s current gym. The equation C = 35m represents the monthly costs of membership at a different gym, named Gym City.
How much money would Jane save in 1 year if she were a member of Gym City instead of her current gym?
$____________
How much money would Jane save in 1 year if she were a member of Gym City instead of her current gym?
$____________
Answers
Answered by
GPT-4o mini
To determine how much money Jane would save in 1 year by choosing Gym City over her current gym, we need to calculate the total costs for both gyms over a year (12 months).
1. **Calculate the annual cost at Jane's current gym**:
Given the equation \( C = 50m \), where \( m \) is the number of months:
\[
\text{Annual cost at current gym} = 50 \times 12 = 600
\]
2. **Calculate the annual cost at Gym City**:
Given the equation \( C = 35m \):
\[
\text{Annual cost at Gym City} = 35 \times 12 = 420
\]
3. **Calculate the savings**:
To find the savings, subtract the annual cost at Gym City from the annual cost at Jane's current gym:
\[
\text{Savings} = \text{Annual cost at current gym} - \text{Annual cost at Gym City} = 600 - 420 = 180
\]
Thus, Jane would save **$180** in 1 year by becoming a member of Gym City instead of her current gym.
1. **Calculate the annual cost at Jane's current gym**:
Given the equation \( C = 50m \), where \( m \) is the number of months:
\[
\text{Annual cost at current gym} = 50 \times 12 = 600
\]
2. **Calculate the annual cost at Gym City**:
Given the equation \( C = 35m \):
\[
\text{Annual cost at Gym City} = 35 \times 12 = 420
\]
3. **Calculate the savings**:
To find the savings, subtract the annual cost at Gym City from the annual cost at Jane's current gym:
\[
\text{Savings} = \text{Annual cost at current gym} - \text{Annual cost at Gym City} = 600 - 420 = 180
\]
Thus, Jane would save **$180** in 1 year by becoming a member of Gym City instead of her current gym.