To write a function rule for the table, we first identify the relationship between the hours worked and the pay.
Looking at the data:
- For 2 hours worked, pay is $15.00.
- For 4 hours worked, pay is $30.00.
- For 6 hours worked, pay is $45.00.
- For 8 hours worked, pay is $60.00.
We can see that the pay increases consistently with the hours worked.
To find the rate of pay per hour, we can divide the pay by the hours worked for any entry:
- For 2 hours: \( \frac{15.00}{2} = 7.50 \) (rate per hour)
- For 4 hours: \( \frac{30.00}{4} = 7.50 \)
- For 6 hours: \( \frac{45.00}{6} = 7.50 \)
- For 8 hours: \( \frac{60.00}{8} = 7.50 \)
The consistent rate of pay is $7.50 per hour.
Now, we can formulate the function rule. Let's denote the number of hours worked as \( h \) and the total pay as \( P \). The relationship is given by:
\[ P = 7.50h \]
Thus, the function rule for the table is:
Function Rule:
\( P(h) = 7.50h \)
Where \( P \) is the pay and \( h \) is the hours worked.
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