Answer: 40 hours Let me know if I need to fix It !
To write an equation that represents the number of dollars, \(d\), earned in terms of the number of hours, \(h\), worked, we can use the given data points to find the rate at which the student earns money per hour.
1. Calculate the rate of earnings per hour:
- For the first data point (8 hours, $50.00 earned), the rate is \(50.00 / 8 = 6.25\) dollars per hour.
- For the second data point (15 hours, $93.75 earned), the rate is \(93.75 / 15 = 6.25\) dollars per hour.
- Similarly, for the third data point and fourth data point, the rate remains the same at $6.25 per hour.
2. Write the equation:
Since the rate of earnings per hour is constant at $6.25, the equation representing the dollars earned (\(d\)) in terms of hours worked (\(h\)) is:
\(d = 6.25h\)
3. Determine the earnings for working 40 hours:
Substitute \(h = 40\) into the equation:
\(d = 6.25 \times 40\)
\(d = 250\)
Therefore, the student would earn $250 for working 40 hours.
