Question

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

$25
$25

$49
$49

$74
$74

$37.25
$37.25

1 answer

To find the slope (or the monthly cost) from the table, we can determine the change in cost per month.

From the table:

  • The cost increases from $74 (1 month) to $99 (2 months).

  • The increase in cost from month 1 to month 2 is: \[ 99 - 74 = 25 \]

  • The cost increases from $99 (2 months) to $124 (3 months).

  • The increase in cost from month 2 to month 3 is: \[ 124 - 99 = 25 \]

  • The cost increases from $124 (3 months) to $149 (4 months).

  • The increase in cost from month 3 to month 4 is: \[ 149 - 124 = 25 \]

The monthly increase in cost is consistently $25.

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

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