Answer:
1. See the graph attached
2. 13,400 thousands people will attend the new movie on the 8th day, if the pattern shown in the graph continues.
Explanation:
The <em>table </em>that shows the number of people who attend a new movie ofver teh course of a week is:
Day Attendance (thousands)
1 12,200
3 12,600
5 13,000
7 13,400
8 x
The <em>graph</em> showing that pattern is attached.
It is a discrete graph because days can take only positive integer values.
You can see that the relation is linear and can calculate the change in the number of people every two days by subracting any two consecutive pairs of data:
- 12,600 - 12,200 = 400
- 13,000 - 12,600 = 400
- 13,400 - 13,000 = 400
Hence, every two days the increase in the number of people is 400 thousands.
For one day the increase is: 400 thousands / 2 days = 200 thousands/day.
Since you know the attendance for the day 7, you can calculate the attendance for the day 8 adding 200 thousands to 13,400:
- 13,400 thousands + 200 thousands = 13,600 thousands.
