The table below gives the cost per person to rent a fishing charter boat. Find the rate of change given that it is constantAlso, explain what the rate of change means for this situation.
A. 1/55
B.110/1
C.1/275
D.55/1
The rate of change in this situation represents the amount by which the cost per person increases or decreases for each additional person.
To find the rate of change, we need to compare the cost per person for two different group sizes. Let's say the cost per person for a group of size 1 is $x, and the cost per person for a group of size 2 is $y.
The rate of change is then given by (y - x)/(2 - 1), as the change in cost per person (y - x) is divided by the change in group size (2 - 1).
Looking at the options:
A. 1/55 -> This means that for each additional person, the cost per person increases by 1/55.
B. 110/1 -> This means that for each additional person, the cost per person increases by 110.
C. 1/275 -> This means that for each additional person, the cost per person increases by 1/275.
D. 55/1 -> This means that for each additional person, the cost per person increases by 55.
Among these options, the rate of change that is constant (indicating a constant increase or decrease in cost per person for each additional person) is option C: 1/275.
ITS WRONG!
I apologize for the incorrect response. Let's revisit the problem to find the correct rate of change.
Let's assume the cost per person for a group of size 1 is $x, and for a group of size 2 is $y.
The rate of change is then given by (y - x)/(2 - 1), as the change in cost per person (y - x) is divided by the change in group size (2 - 1).
We do not have the specific values for x and y or the corresponding prices for different group sizes, so we cannot determine the correct rate of change from the given options without this information.
I apologize for any confusion caused.
To find the rate of change, we need to determine the change in the cost per person divided by the corresponding change in the number of people. However, since the question states that the rate of change is constant, we can simply divide any change in the cost per person by the corresponding change in the number of people. Let's check the given options:
A. 1/55: This means that for every additional person, the cost per person increases by 1/55. So, the rate of change is constant, and it increases by 1/55 for every additional person.
B. 110/1: This means that for every additional person, the cost per person increases by 110. However, the rate of change is not constant in this case since it increases by a fixed amount, rather than a fraction.
C. 1/275: This means that for every additional person, the cost per person increases by 1/275. So, the rate of change is constant, and it increases by 1/275 for every additional person.
D. 55/1: This means that for every additional person, the cost per person increases by 55. However, the rate of change is not constant in this case since it increases by a fixed amount, rather than a fraction.
Based on the information provided, options A (1/55) and C (1/275) both represent a constant rate of change. Either option can be correct, depending on the specific situation.
In this situation, the rate of change represents how the cost per person changes as the number of people increases. For example, if the rate of change is 1/55, it means that for each additional person, the cost per person increases by 1/55 of the total cost. This provides an understanding of how the cost per person varies with the number of people on the fishing charter boat.