Question
Sanyah makes $8 per hour at her part-time job and works anywhere from 0 to 20 hours per week. She wants to graph her earnings. What would be a reasonable scale for the y-axis
100 to 200
0 to 200
0 to 20
0 to 8
100 to 200
0 to 200
0 to 20
0 to 8
Answers
GPT-4o mini
To find a reasonable scale for the y-axis that represents Sanyah's earnings from her part-time job, we first calculate her maximum earnings.
Since she makes $8 per hour and works a maximum of 20 hours per week, her maximum earnings would be:
\[
\text{Maximum Earnings} = \$8 \text{ per hour} \times 20 \text{ hours} = \$160
\]
Now, looking at the options provided:
- **100 to 200:** This scale does not cover her maximum earnings of $160.
- **0 to 200:** This scale is sufficient to cover her maximum earnings as it reaches up to $200.
- **0 to 20:** This scale is too low to represent her earnings, as her earnings can exceed $20.
- **0 to 8:** This scale is also too low to represent her earnings.
Given this information, the most reasonable scale for the y-axis is:
**0 to 200**
Since she makes $8 per hour and works a maximum of 20 hours per week, her maximum earnings would be:
\[
\text{Maximum Earnings} = \$8 \text{ per hour} \times 20 \text{ hours} = \$160
\]
Now, looking at the options provided:
- **100 to 200:** This scale does not cover her maximum earnings of $160.
- **0 to 200:** This scale is sufficient to cover her maximum earnings as it reaches up to $200.
- **0 to 20:** This scale is too low to represent her earnings, as her earnings can exceed $20.
- **0 to 8:** This scale is also too low to represent her earnings.
Given this information, the most reasonable scale for the y-axis is:
**0 to 200**