The linear equation for your weekly pay: P = 2960 + 111(h - 40)
Weekly Pay Equation for Overtime Hours
To write a linear equation for your weekly pay (P) when you work h hours (between 41 and 50 inclusive), consider the following:
1. Regular Pay:
For the first 40 hours, your pay will be:
$74/hour * 40 hours = $2960
2. Overtime Pay:
If you work more than 40 hours, you will receive time and a half pay for the overtime hours. This means:
Overtime rate = 1.5 * $74/hour = $111/hour
Overtime hours = h - 40 hours
Overtime pay = $111/hour * (h - 40 hours)
3. Total Pay:
Combining the regular pay and overtime pay, your total weekly pay is:
P = $2960 + $111/hour * (h - 40 hours)
Linear Equation:
Replacing "h" with a variable representing hours worked (between 41 and 50), we get the following linear equation for your weekly pay:
P = 2960 + 111(h - 40)
Complete question:
Write an linear equation for your weekly pay (P) when you work h hours and assume h is bigger than 40 but 50 or less.
Known Information:
1. Pay is $74 per hour for the first 40 hours each week.
2. Time and a half pay for up to 10 hours of overtime each week.
3. Hours can never exceed 50 hours