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 $25 $25 $49 $49 $37.25 $37.25 $74 $74 Skip to navigation
To find the slope, we need to find the rate of change in cost per month.
We can start by finding the change in cost from month 1 to month 2:
Cost in month 2 - Cost in month 1 = $99 - $74 = $25
This means that the cost increased by $25 from month 1 to month 2.
Similarly, we can find the change in cost from month 2 to month 3:
Cost in month 3 - Cost in month 2 = $124 - $99 = $25
Again, the cost increased by $25 from month 2 to month 3.
Finally, we can find the change in cost from month 3 to month 4:
Cost in month 4 - Cost in month 3 = $149 - $124 = $25
Once again, the cost increased by $25 from month 3 to month 4.
Since the cost increased by $25 every month, the slope, or monthly cost, is $25.