Final answer:
To find the number of bounded and unbounded regions that 4 lines in general position divide a plane into, we can use the formula: Regions = n*(n+1)/2 + 1, where n is the number of lines. For 4 lines, this gives us 11 regions. We can continue this pattern to find the number of regions for 5 through 10 lines and organize the information in a chart.
Step-by-step explanation:
To find the number of bounded and unbounded regions that 4 lines in general position divide a plane into, we can use the formula: Regions = n*(n+1)/2 + 1, where n is the number of lines. For 4 lines, this gives us: Regions = 4*(4+1)/2 + 1 = 11.
For 5 lines, the formula gives us: Regions = 5*(5+1)/2 + 1 = 16.
We can continue this pattern to find the number of regions for 6 through 10 lines and organize the information in a chart:
Number of Lines Number of Regions
4 11
5 16
6 22
7 29
8 37
9 46
10 56