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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 point)
Responses

$37.25
$37.25

$25
$25

$49
$49

$74

1 answer

To determine the slope (or monthly cost) from the data given in the table, we first need to find the difference in cost between subsequent months and then divide that by the change in the number of months.

The data from the table is as follows:

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

We will calculate the monthly cost increase (slope) between each pair of months:

  • From Month 1 to Month 2: \( 99 - 74 = 25 \)

  • From Month 2 to Month 3: \( 124 - 99 = 25 \)

  • From Month 3 to Month 4: \( 149 - 124 = 25 \)

From these calculations, we see that the cost increases by $25 each month.

Thus, the slope or monthly cost is $25.

The correct response is:

$25.