To determine the most appropriate scale and interval for Leo to use in making a line graph of his babysitting earnings, we need to consider the data points and choose an option that clearly represents these values.
First, let's define Leo's earnings from January to May:
- January: [tex]$55
- February: $[/tex]40
- March: [tex]$75
- April: $[/tex]50
- May: [tex]$60
### Step-by-Step Solution:
1. Identify the range of the data:
- The maximum earning is $[/tex]75 (in March).
- The minimum earning is [tex]$40 (in February).
- Therefore, the range of earnings is from $[/tex]40 to [tex]$75.
2. Evaluate the scale options:
- Option a) Scale 0 to 50, Interval 5
- This scale does not cover all the data points since the maximum earning is $[/tex]75, which is outside the range of 0 to 50.
- Option b) Scale 0 to 50, Interval 2
- Similar to option a, this scale does not cover the maximum earning of $75.
- Option c) Scale 0 to 100, Interval 20
- This scale covers all the data points, but the interval of 20 might be too broad and may not give a detailed view of monthly variations.
- Option d) Scale 0 to 100, Interval 10
- This scale covers all the data points and provides a more detailed and clearer division of the data.
3. Determine the best option based on the above evaluations:
- Options a and b are immediately ruled out because they do not cover the entire range of earnings.
- Between options c and d, option d offers a more detailed representation due to a smaller interval (10 compared to 20).
Based on the considerations above, the most appropriate scale and interval for Leo to use to make a line graph of the data is:
d) Scale 0 to 100, Interval 10
This option effectively covers the entire range of earnings and provides a clear and detailed visualization of Leo's monthly babysitting earnings.
