Question

Use the table to answer the question.

Monthly Cost of Gym Membership
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

$49
$49

$25
$25

$37.25

Answer 1

To find the slope, we can look at the change in cost and divide it by the change in the number of months.

From the table, we can take two points to calculate the slope. For example, using the points (1, 74) and (2, 99):

1. Change in cost (y): \( 99 - 74 = 25 \)
2. Change in months (x): \( 2 - 1 = 1 \)

Now, we calculate the slope (m):

\[
m = \frac{\text{Change in cost}}{\text{Change in months}} = \frac{25}{1} = 25
\]

Let's check another pair of points to ensure the slope remains consistent. We can use (2, 99) and (3, 124):

1. Change in cost (y): \( 124 - 99 = 25 \)
2. Change in months (x): \( 3 - 2 = 1 \)

So,

\[
m = \frac{25}{1} = 25
\]

Thus, the monthly cost, as given by the slope, is **$25**.

Therefore, the correct response is:

**$25**