Question

Sara makes $8 per hour at her part-time job and works anywhere from 0-20 hours per week. She wants to graph her earnings. What should be a reasonable scale for the y-axis
0-8
0-20
0-200
100-200

Answer 1

To graph Sara's earnings based on her hourly wage of $8 and the range of hours she works (0 to 20 hours per week), we first need to calculate her potential earnings.

The maximum earnings can be calculated as follows:

\[ \text{Maximum Earnings} = \text{Hourly Wage} \times \text{Maximum Hours} = 8 \text{ dollars/hour} \times 20 \text{ hours} = 160 \text{ dollars} \]

Given this range of potential earnings (from $0 to $160), a good y-axis scale would be one that can accommodate this range effectively.

Considering the options provided:
- **0-8** is too small since it does not cover her potential maximum earnings.
- **0-20** is also too small for the same reason.
- **0-200** appropriately includes all possible earning amounts from 0 to 160.
- **100-200** does not include the lower range of $0 to $99, which is quite important for this graph.

Therefore, the most reasonable scale for the y-axis would be **0-200**.