Use the table to answer the question. Find the rate of change. Number of People Cost in Dollars 2 $9.00 5 $22.50 8 $36.00 11 $49.50 14 $63.00 (1 point) Responses $4.50 per person $4.50 per person $18.00 per person $18.00 per person $22.50 per person $22.50 per person $32.00 per person

Answer 1

To find the rate of change in cost per person, we can look at the change in cost and the change in the number of people from the data provided.

We can take two points from the table to calculate the rate of change:

1. From 2 people ($9.00) to 5 people ($22.50):

   • Change in cost = $22.50 - $9.00 = $13.50
   • Change in number of people = 5 - 2 = 3
   • Rate of change = Change in cost / Change in people = $13.50 / 3 = $4.50 per person

2. You can also do the same for another pair:

   • From 5 people ($22.50) to 8 people ($36.00):
     • Change in cost = $36.00 - $22.50 = $13.50
     • Change in number of people = 8 - 5 = 3
     • Rate of change = $13.50 / 3 = $4.50 per person

Also, taking the last pair:

• From 11 people ($49.50) to 14 people ($63.00):
  • Change in cost = $63.00 - $49.50 = $13.50
  • Change in number of people = 14 - 11 = 3
  • Rate of change = $13.50 / 3 = $4.50 per person

In each case, the rate of change is consistent. Thus, the rate of change is:

$4.50 per person.