Use the table to answer the 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

$74
$74
$25
$25
$37.25
$37.25
$49

1 answer

To find the slope, or the monthly cost of the gym membership, we need to determine the change in cost per month.

Using the values from the table:

  • For 1 month: $74
  • For 2 months: $99
  • For 3 months: $124
  • For 4 months: $149

Let's calculate the cost increase for each subsequent month:

  1. From 1 to 2 months: \[ 99 - 74 = 25 \]
  2. From 2 to 3 months: \[ 124 - 99 = 25 \]
  3. From 3 to 4 months: \[ 149 - 124 = 25 \]

The increase in cost for each month is consistently $25.

Thus, the slope, or the monthly cost, is $25.

The correct response is: $25.

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