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)
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.
Image with alt text: The fraction fifty five over one.
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To find the rate of change, we can look at the change in cost divided by the change in the number of people.
For example, when the number of people changes from 2 to 3, the cost changes from $110 to $165. This is a change of $55. So the rate of change is 55/1 = 55.
The rate of change represents the constant amount by which the cost increases for each additional person. In this case, for each additional person, the cost increases by $55.