The rate of change is constant in the table. Find the rate of change. Explain what the rate of change means for the situation.
The table shows the cost of a ski rental package for a given number of people.
People Cost ($)
4 160
5 200
6 240
7 280
(1 point)
A) 1over280dollars per person; the cost is $1 for 280 people.
B) 160over1 dollars per person; the cost is $160 for each person.
C) 1over40 dollars per person; the cost is $40 for each person.
D) 40over1 dollars per person; the cost is $40 for each person.
The rate of change can be found by calculating the change in the cost and the change in the number of people.
Change in cost = $240 - $160 = $80
Change in number of people = 6 - 4 = 2
Rate of change = Change in cost / Change in number of people
= $80 / 2
= $40
So, the rate of change is $40.
Explanation: The rate of change represents how the cost changes as the number of people increases. In this situation, for every additional person, the cost increases by $40. Therefore, the rate of change of $40 means that for each person added to the group, the cost increases by $40.