Question

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Slope in Real-World Problems Quick Check
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Question
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

$74
$74

$37.25
$37.25

$49
$49

$25

Answer 1

To find the slope, which represents the monthly cost after accounting for the initial start-up fee, we first need to analyze the data in the table:

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

Now, we can calculate the change in cost as we progress 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 consistent increase in cost of $25 per month indicates that the slope, or the monthly cost (after the initial fee), is $25.

Therefore, the answer is:
**$25**