Question

Dylan built the following pattern:

reuse 08_07_ga_1_4

Which table represents the relationship between the pattern number (Input) and the number of squares (Output)?
Input Output
1 4
2 8
3 16
Input Output
1 4
2 8
3 12
Input Output
1 1
2 4
3 9
Input Output
1 1
2 2
3 3
Input Output
8 4
8 8
12 12

Answer 1

1 1

2 4

3 9

Explanation:

the input is the pattern number so we already know based off of the picture that it the input will be 123. next if you look at pattern #1 you see one square. that means the first coordinate is (1,1). then at pattern #2 you see squares which gives the coordinate (2,4). finally you see pattern #3 has 9 squares which gives the coordinate (3,9). if you look at all the coordinates given (1,1) (2,4) and (3,9) that matches the table of

1 1

2 4

3 9