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

$37.25
$37.25

$49
$49

$25
$25

$74
$74
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Answer 1

To find the slope, or monthly cost, we can examine the change in cost over the change in months.

Using the values from the table:

• For months 1 to 2:

  • Cost at 1 month = $74
  • Cost at 2 months = $99
  • Change in cost = 99 - 74 = $25
  • Change in months = 2 - 1 = 1
  • Slope = Change in cost / Change in months = $25 / 1 = $25

• For months 2 to 3:

  • Cost at 2 months = $99
  • Cost at 3 months = $124
  • Change in cost = 124 - 99 = $25
  • Change in months = 3 - 2 = 1
  • Slope = Change in cost / Change in months = $25 / 1 = $25

• For months 3 to 4:

  • Cost at 3 months = $124
  • Cost at 4 months = $149
  • Change in cost = 149 - 124 = $25
  • Change in months = 4 - 3 = 1
  • Slope = Change in cost / Change in months = $25 / 1 = $25

In each case, the slope is consistent at $25. Therefore, the monthly cost for the gym membership, which is the slope, is $25.

So, the correct response is $25.