Nakeisha is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. Let C*C* represent the total cost of the gym membership over t*t* months. The table below has select values showing the linear relationship between t*t* and C, .*C*. Determine the one-time joining fee.

To determine the one-time joining fee for Nakeisha's gym membership, we need to analyze the given linear relationship between the total cost \( C \) and the number of months \( t \).

### Step-by-Step Process:

1. **Identify the Linear Relationship**:
   The total cost \( C \) can be represented by the linear equation:
   \[
   C = mt + b
   \]
   where:
   - \( m \) is the monthly fee.
   - \( b \) is the one-time joining fee.

2. **Use Data Points**:
   If you have specific values from the table for \( t \) (the number of months) and \( C \) (the total cost), you can use these points to determine \( m \) and \( b \).

3. **Determine the One-Time Joining Fee**:
   The one-time joining fee \( b \) can be found by using the fact that when \( t = 0 \), the cost \( C \) is equal to \( b \).

To proceed further, please provide specific values from the table, such as the total cost \( C \) for certain numbers of months \( t \). If the table is provided, I can calculate the exact one-time joining fee.

Do you want more details or have any questions? Here are some related questions to expand on this:

1. How do you determine the monthly fee using the linear equation?
2. What does the slope \( m \) represent in this context?
3. How would you find the total cost after a specific number of months?
4. Can the joining fee be determined with only one data point?
5. How would the equation change if the monthly fee were to increase over time?

**Tip:** Always try to identify what each variable in a linear equation represents in the context of the problem.

Learn how to determine the one-time joining fee for Nakeisha's gym membership using a linear equation. Understand the relationship between total cost and months of membership. Suitable for high school students and anyone interested in cost analysis.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation