Use the table to answer the question.Number of MonthsCost ($)17429931244149The 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$37.25$37.25$49$49$74
To find the slope, we can use the formula:
Slope = (change in y) / (change in x)
In this case, the change in y represents the change in cost and the change in x represents the change in months.
The monthly cost can be obtained by calculating the difference between the cost of two consecutive months. Looking at the table, we can see that the change in cost for each increase in the number of months is the same. Therefore, we can choose any two consecutive months to find the slope.
Let's choose the first and second months:
Change in cost = $37.25 - $25 = $12.25
Change in months = 2 - 1 = 1
Now we can calculate the slope:
Slope = (change in cost) / (change in months) = $12.25 / 1 = $12.25
Therefore, the monthly cost is $12.25.