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.

answers:

$37.25

$74

$25

$49

Answer 1

To find the monthly cost (slope) from the given data in the table, we need to determine the change in cost with respect to the change in the number of months.

From the table, we can calculate the monthly cost by looking at the difference in cost over the difference in months:

• Number of months: 1
  • Cost: $74
• Number of months: 2
  • Cost: $99

Change from month 1 to month 2:

• Cost change: 99 - 74 = 25
• Month change: 2 - 1 = 1

So, the monthly cost (slope) from month 1 to month 2 is: \[ \text{slope} = \frac{\text{Change in cost}}{\text{Change in months}} = \frac{25}{1} = 25 \]

Now we can check if this holds for the other months:

• From month 2 to month 3:
  • Cost change: 124 - 99 = 25
  • Month change: 3 - 2 = 1
• From month 3 to month 4:
  • Cost change: 149 - 124 = 25
  • Month change: 4 - 3 = 1

In all instances, the monthly cost is consistent at $25.

So, the monthly cost (slope) is $25.

The correct answer is: $25.

Answer 2

you sure

Answer 3

Yes, let's confirm the calculation step-by-step:

We have the monthly costs from the table:

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

To find the monthly cost (slope), we can use the difference in costs for any consecutive months:

1. From month 1 to month 2:

   • Cost difference: \(99 - 74 = 25\)
   • Month difference: \(2 - 1 = 1\)

   This gives a slope of \(\frac{25}{1} = 25\).

2. From month 2 to month 3:

   • Cost difference: \(124 - 99 = 25\)
   • Month difference: \(3 - 2 = 1\)

   Again, this gives a slope of \(\frac{25}{1} = 25\).

3. From month 3 to month 4:

   • Cost difference: \(149 - 124 = 25\)
   • Month difference: \(4 - 3 = 1\)

   And again, this gives a slope of \(\frac{25}{1} = 25\).

In all cases, the monthly cost is consistently calculated as $25 per month, after the initial start-up fee included in the first month.

Thus, the monthly cost (slope) is indeed $25.