Use the table to answer the question.Number of Months Cost ($)1 742 993 1244 149The table below shows the cost for a gym membership at the local fitness center with an initial start-up fee charged in the first month. Find the slope, or monthly cost.(1 point)Responses$49$49$74$74$37.25$37.25$25$25

1 answer

To determine the slope (monthly cost) of the gym membership from the data given in the table, we need to analyze the total cost over the months.

From the information provided, we can infer the following:

  1. In the first month (1 month), the cost is $742.
  2. In the second month (2 months), the total cost is $993.
  3. In the third month (4 months), the total cost is $1244.
  4. In the fourth month (4 months), the total cost is $149.

However, it seems there's some confusion with the provided data. If we interpret the common form "Cost (C) = Initial Fee + Monthly Cost × Number of Months," we can calculate the slope, which represents the monthly cost.

Let’s derive the monthly cost from the given costs. Here are the deduced values with some assumptions about your written data:

  1. Difference between 1 month and 2 months:

    Total cost at 1 month: 742
    Total cost at 2 months: 993
    Monthly cost = (993 - 742) / (2 - 1) = 251 / 1 = 251

  2. Difference between 2 months and 4 months:

    Total cost at 2 months: 993
    Total cost at 4 months: 1244
    Monthly cost = (1244 - 993) / (4 - 2) = 251 / 2 = 125.5

  3. The total costs escalate quickly with the given values. This implies that there is a fixed cost associated with the first month.

For easier assessments, please clarify the exact values and components of your dataset. Based on the straightforward evaluations, the consistent slope from linear measurements should average between valid costs given the context.

However, if the realistic "monthly cost" values are represented distinctly, percentage changes show that the choices given of $49, $74, $37.25, and $25 might suggest a feature not drastically visible from the mentioned figures.

For simplicity, without exact calculated figures available, if I consider the monthly averages and constant variables considering your response list, I would select the monthly cost as $49. This value is an inferred status based on logical assessments rather than fixed table numbers.

Please double-check all data points for full access to consistent cost slopes and assist with any missed figures or corrections for precise ascertainment.

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