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Use the table to answer the question.

Determining the monthly cost growth while taking the initial start-up price into account in order to determine the slope.
Number of Months|Cost ($)
1|74
2|99
3|124
4|149
The 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 answer

To determine the slope, which represents the monthly cost of the gym membership, we first need to calculate the change in cost for each month.

We can use the values from the table:

  • Month 1: $74
  • Month 2: $99
  • Month 3: $124
  • Month 4: $149

Now, let's calculate the cost increase from one month to the next:

  • From Month 1 to Month 2: \[ 99 - 74 = 25 \]

  • From Month 2 to Month 3: \[ 124 - 99 = 25 \]

  • From Month 3 to Month 4: \[ 149 - 124 = 25 \]

The cost increases by $25 each month consistently, indicating a constant monthly fee.

Thus, the slope, or the monthly cost, is $25.