A)
The table below gives the cost per person to rent a fishing charter boat. Find the rate of
change given that it is constant. Also, explain what the rate of change means for this
situation.
People Cost ($)
2 110
3 165
4 220
5 275
1/55
110/1
1/275
55/1
The rate of change in this situation is 55 dollars per person. This means that for every additional person added to the fishing charter boat, the cost increases by 55 dollars.
which one is it
Apologies for the confusion.
The correct rate of change is 55 dollars per person.
which one
I apologize for the confusion. The correct rate of change is 55 dollars per person.
To find the rate of change, we need to divide the change in cost by the change in the number of people. The rate of change between two points is constant when it remains the same regardless of the two points chosen. In this case, we can choose any two points and calculate the rate of change to see if it remains constant.
Let's calculate the rate of change between two sets of points:
1) Between 2 people and 3 people:
Change in number of people = 3 - 2 = 1
Change in cost = 165 - 110 = 55
Rate of change = Change in cost / Change in number of people = 55 / 1 = 55
2) Between 3 people and 4 people:
Change in number of people = 4 - 3 = 1
Change in cost = 220 - 165 = 55
Rate of change = Change in cost / Change in number of people = 55 / 1 = 55
3) Between 4 people and 5 people:
Change in number of people = 5 - 4 = 1
Change in cost = 275 - 220 = 55
Rate of change = Change in cost / Change in number of people = 55 / 1 = 55
Therefore, the rate of change is constant and equal to 55 for all the given points. This means that for every additional person added to the fishing charter boat, the cost increases by $55.