Use the table to answer the question.

Question

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

$49
$49

$37.25
$37.25

$74
$74

$25
$25
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Answer 1

To find the slope, or monthly cost, we can calculate the difference in cost per month and divide that by the change in the number of months.

From the table:

• When \(0\) months have passed (initial cost, which can be deduced), the first month's cost is $74.
• After \(1\) month, it costs $99.

Let's calculate the increase in cost from 1 month to 2 months:

\[ \text{Cost for 2 months} - \text{Cost for 1 month} = 99 - 74 = 25 \]

To find the slope (or the additional cost per month), we look at the difference over the number of months.

We can calculate the slope from the table data (cost increases from month 1 to month 4):

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

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

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

The monthly cost is consistently $25 for each month of membership beyond the first month.

Thus, the correct answer for the slope (monthly cost) is:

$25