he 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
To find the rate of change, we can calculate the difference in cost between two points and divide it by the difference in the corresponding number of people.
Calculating the rate of change between 2 and 3 people:
Difference in cost = 165 - 110 = 55
Difference in people = 3 - 2 = 1
Rate of change = (Difference in cost) / (Difference in people) = 55 / 1 = 55
Calculating the rate of change between 3 and 4 people:
Difference in cost = 220 - 165 = 55
Difference in people = 4 - 3 = 1
Rate of change = (Difference in cost) / (Difference in people) = 55 / 1 = 55
Calculating the rate of change between 4 and 5 people:
Difference in cost = 275 - 220 = 55
Difference in people = 5 - 4 = 1
Rate of change = (Difference in cost) / (Difference in people) = 55 / 1 = 55
From these calculations, we can see that the rate of change is constant at 55 dollars per person.
The rate of change in this situation represents the cost increase per additional person to rent the fishing charter boat. It means that for each additional person, the cost increases by 55 dollars.