To determine which real-world situation matches the relationship shown in the table, let's analyze the data and the given options.
The table indicates how many dollars (d) Simon earns for a certain number of hours (h) worked.
To find the relationship between hours and dollars, observe the values:
- For 1 hour, Simon earns 6 dollars.
- For 2 hours, Simon earns 12 dollars.
- For 3 hours, Simon earns 18 dollars.
- For 4 hours, Simon earns 24 dollars.
From this pattern, you can see that the number of dollars increases by 6 times the number of hours. This means that for each hour Simon works, he earns 6 dollars.
So, if we denote the number of hours worked by [tex]\( h \)[/tex] and the dollars earned by [tex]\( d \)[/tex], the relationship can be expressed as:
[tex]\[ d = 6 \times h \][/tex]
Now, let’s analyze each option to find the correct real-world situation:
1. Simon needs 6 more dollars:
- This does not describe a consistent earning pattern based on hours worked.
2. Simon makes 6 dollars per hour:
- Correct. This explains the pattern shown in the table where each hour worked results in earning 6 dollars.
3. Simon lost 6 dollars:
- This does not match the observed pattern of earning money based on hours worked.
4. Simon makes 1 hour for every 6 dollars:
- This is incorrect. The table demonstrates dollars earned per hour, not hours earned per dollar.
Therefore, the real-world situation that matches the relationship shown in the table is:
Simon makes 6 dollars per hour.
