Question

24.
Write a function rule for the table.

Hours Worked Pay
2 $11.50
4 $23.00
6 $34.50
8 $46.00

Answer 1

To write a function rule for the table that relates hours worked to pay, we can first observe the relationship between the two columns.

Given the data:

- For 2 hours worked, the pay is $11.50
- For 4 hours worked, the pay is $23.00
- For 6 hours worked, the pay is $34.50
- For 8 hours worked, the pay is $46.00

Let's analyze the pay per hour:

- For 2 hours: \( \frac{11.50}{2} = 5.75 \) (pay per hour)
- For 4 hours: \( \frac{23.00}{4} = 5.75 \) (pay per hour)
- For 6 hours: \( \frac{34.50}{6} = 5.75 \) (pay per hour)
- For 8 hours: \( \frac{46.00}{8} = 5.75 \) (pay per hour)

The pay rate is consistently $5.75 per hour. Therefore, we can define a function rule where \( p \) represents pay and \( h \) represents hours worked.

The function rule can be expressed as:

\[ p = 5.75h \]

Where:
- \( p \) is the total pay in dollars.
- \( h \) is the number of hours worked.

This rule accurately calculates the pay based on the number of hours worked.