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

$25
$25

$74
$74

$37.25
$37.25

Answer 1

To find the monthly cost (or slope) based on the provided data, we can take the difference in cost and divide it by the difference in months.

From the table:

• The cost at 1 month is $74.
• The cost at 2 months is $99.
• The cost at 3 months is $124.
• The cost at 4 months is $149.

Let's calculate the monthly cost between 1 month and 2 months:

Cost difference from month 1 to month 2: \[ 99 - 74 = 25 \]

The difference in months: \[ 2 - 1 = 1 \]

Thus, the monthly cost (slope) from month 1 to month 2 is: \[ \frac{25}{1} = 25 \]

We can check this for the other months as well:

From month 2 to month 3: \[ 124 - 99 = 25 \] \[ 3 - 2 = 1 \] \[ \frac{25}{1} = 25 \]

From month 3 to month 4: \[ 149 - 124 = 25 \] \[ 4 - 3 = 1 \] \[ \frac{25}{1} = 25 \]

In all cases, the monthly cost is consistently $25.

Therefore, the correct answer is:

$25