1. The problem asks which number line options are suitable for the Height axis given the data points: 67, 36, 17, and 9 cm.
2. To choose a suitable number line, the axis should cover the range of the data points comfortably.
3. The minimum height is 9 cm and the maximum height is 67 cm.
4. Let's analyze each graph:
- Graph A has markings at 0, 20, 40, 60, and 80. This covers from 0 to 80, which includes all data points (9 to 67).
- Graph B has markings at 0, 5, 10, 15, 20, and 25. This only goes up to 25, which is less than the maximum height 67, so it is not suitable.
- Graph C has markings at 0, 100, 200, 300, and 400. This covers a much larger range than needed, but it does include all data points.
5. Suitable axes should cover the data range without being too compressed or too sparse.
6. Therefore, Graph A is suitable because it covers the data range well.
7. Graph C is technically suitable but not practical because the scale is too large for the data.
8. Graph B is not suitable because it does not cover the maximum data value.
Final answer: Graph A and Graph C are suitable for the Height axis.
Height Axis Ae583C
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.