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 Image with alt text: The fraction one fifty fifth. Image with alt text: The fraction one hundred ten over one. Image with alt text: The fraction one over two hundred seventy five
To find the rate of change, we can look at the relationship between the number of people and the cost.
As the number of people increases by 1, the cost increases by $55.
Therefore, the rate of change is $55 per person.
This means that for each additional person, the cost to rent the fishing charter boat increases by $55.
What is the answer in fraciton form?
The rate of change, $55 per person, can be expressed as the fraction 55/1.
To find the rate of change in this situation, we need to determine the change in cost per person divided by the change in the number of people.
From the table, we can see that as the number of people increases by 1, the cost increases by $55. Therefore, the rate of change is $55 per person.
Now, let's understand what the rate of change means in this situation. It indicates how much the cost changes for each additional person. So, for every additional person that joins the fishing charter boat, the cost per person increases by $55. This implies that the more people that join, the higher the cost per person will be.
For example, if there were only 2 people, the cost per person would be $110. But if there were 5 people, the cost per person would be $275. So, as the number of people increases, the individual cost per person also increases, and the rate at which it increases is constant at $55.