THE TABLE BELOW GIVES THE COST PER PERSON TO BUY TICKETS TO AN UPCOMING CONCERT. FIND THE RATE OF CHANGE. PEOPLE IS 2, 3, 4, 5. COST IS 148,222. 296, 370.
To find the rate of change, we need to compare the change in cost to the change in the number of people.
For the given information:
- When the number of people increases from 2 to 3, the cost increases from $148 to $222 ($222 - $148 = $74 increase)
- When the number of people increases from 3 to 4, the cost increases from $222 to $296 ($296 - $222 = $74 increase)
- When the number of people increases from 4 to 5, the cost increases from $296 to $370 ($370 - $296 = $74 increase)
As we can see, the cost increases by $74 every time the number of people increases by 1. Therefore, the rate of change is $74.