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
$49
$49
$37.25
$37.25
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To find the slope, or monthly cost, you need to determine the change in cost per change in the number of months.
In this case, the cost increases by $25 for each additional month. So the slope, or monthly cost, is $25.
Therefore, the correct answer is $25.
To find the slope, we need to calculate the change in cost divided by the change in the number of months.
The change in cost is the difference between the final cost and the initial cost. In this case, the final cost is $149 and the initial cost is $74. So the change in cost is $149 - $74 = $75.
The change in the number of months is the difference between the final number of months and the initial number of months. In this case, the final number of months is 4 and the initial number of months is 1. So the change in the number of months is 4 - 1 = 3.
Now, we can calculate the slope:
Slope = change in cost / change in number of months
= $75 / 3
= $25
Therefore, the slope or the monthly cost is $25.