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 point)
Responses
The fraction one fifty fifth.
Image with alt text: The fraction one fifty fifth.
The fraction one hundred ten over one.
Image with alt text: The fraction one hundred ten over one.
The fraction one over two hundred seventy five
Image with alt text: The fraction one over two hundred seventy five
The fraction fifty five over one.
The rate of change for this situation is $55. This means that for each additional person that joins the fishing charter boat, the cost per person increases by $55.
To find the rate of change, we need to calculate the change in cost divided by the change in number of people. Let's calculate it using the given data:
Change in cost = 275 - 110 = 165
Change in number of people = 5 - 2 = 3
Rate of change = Change in cost / Change in number of people = 165 / 3 = 55
The rate of change for this situation is 55. This means that for each additional person added to the fishing charter boat, the cost increases by $55.