Slope in Real-World Problems Quick Check
2 of 52 of 5 Items
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
$74
$74
$49
$49
$25
$25
$37.25
$37.25
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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 $99 - $74 = $25.
The change in number of months is 2 - 1 = 1.
So, the slope, or monthly cost, is $25/1 = $25.
Therefore, the correct answer is $25.
To find the slope, we need to calculate the rate of change of the cost per month.
First, let's find the change in the cost between two consecutive months.
The change in cost between month 1 and 2 is: 99 - 74 = 25
The change in cost between month 2 and 3 is: 124 - 99 = 25
The change in cost between month 3 and 4 is: 149 - 124 = 25
Since the change in cost is the same (25) for each consecutive month, the slope, or monthly cost, is $25.
Therefore, the correct answer is: $25.
To find the slope, or monthly cost, in this problem, we need to look at the rate of change between the number of months and the cost.
In the table, the number of months increases by 1 each time, and the cost increases by $25 each time. This means that for each additional month, the cost increases by $25.
Therefore, the slope, or monthly cost, is $25.
So, the correct answer is $25.