The table below gives a cost per person to rent a fishing charter but find the rate of change given that it is constant. Also explain what the rate of change means for the situation people 2345 cost 110, 165 to 220,275

1 answer

To find the rate of change, we can use the formula: Rate of change = (Change in cost)/(Change in number of people).

Let's calculate the changes:
- Change in cost = Final cost - Initial cost = 165 - 110 = 55
- Change in number of people = Final number of people - Initial number of people = 275 - 2345 = -2070

To find the rate of change, we divide the change in cost by the change in number of people:
Rate of change = 55/(-2070) = -0.026570048309178744

The rate of change is approximately -0.0266.

For this situation, the negative rate of change means that as the number of people increases, the cost per person decreases. In other words, the more people there are, the cheaper it becomes per person to rent the fishing charter.