The rate of change in is constant in each table find the rate of change explain what the rate of change mean for the situation the table show the cost of a ski rental package for a given number of people

Question

(4,160),(5,200),(6,240),(7,280)

Answer 1

To find the rate of change in the given table, we need to determine how much the cost changes for each additional person renting a ski package.

First, let's look at the change in cost for each additional person:
- From 4 people to 5 people, the cost increases from $160 to $200, which is an increase of $40.
- From 5 people to 6 people, the cost increases from $200 to $240, which is an increase of $40.
- From 6 people to 7 people, the cost increases from $240 to $280, which is again an increase of $40.

As we can see, the cost of the ski rental package increases by $40 for each additional person. This means that the rate of change in the table is $40 per person.

In this particular situation, the rate of change represents the additional cost incurred for each additional person renting a ski package. For instance, if a group of 5 people rents a ski package, they would have to pay $200 according to the table. If they decide to add one more person to the group, making it a group of 6 people, the cost would increase by $40 to a total of $240.

Therefore, the rate of change is essential in determining how the cost of the ski rental package is affected by the number of people in a group.