Use the table to answer the question.

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

$74
$74

$25
$25

$37.25
$37.25

$49
$49
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Answer 1

To find the slope or the monthly cost growth, we can analyze the cost data provided in the table. The initial start-up fee appears to be included in the first month's cost, and we will calculate the change in cost for subsequent months to determine the slope.

1. Month 1: $74
2. Month 2: $99 – Cost increase from Month 1 = 99 - 74 = $25
3. Month 3: $124 – Cost increase from Month 2 = 124 - 99 = $25
4. Month 4: $149 – Cost increase from Month 3 = 149 - 124 = $25

From the calculations, we see that the monthly cost increase is consistently $25.

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

The correct response is: $25.