AlgebraMediumOvertime rate from a week's pay
Algebra practice question
A worker is paid $14 per hour for the first 40 hours in a week and a higher rate for each hour beyond 40. In a week of 45 hours the worker was paid $665. What is the overtime rate, in dollars per hour?
Answer: 21
40 × 14 = 560 for the regular hours, leaving 665 − 560 = 105 for 5 overtime hours: 105 ÷ 5 = 21.
Common wrong answers
- If you answered 7
- 7 is 21 − 14, the extra per overtime hour, not the rate.
- If you answered 133
- 133 is 665 ÷ 5, ignoring the regular pay.
- If you answered 14.78
- 14.78 is 665 ÷ 45, the average rate.
More Algebra questions
- Medium
A system: 2x + y = 11 and x − y = 1. What is the value of x + y? - Medium
Which of the following describes all solutions to 4x − 9 ≤ 2x + 5? - Medium
A phone's battery percentage is modeled by P = 100 − 8t, where t is the number of hours since it was unplugged… - Medium
If y = 2x − 1 and 3x + y = 14, what is the value of x? - Medium
If |2x − 3| = 7, what is the sum of all possible values of x? - Medium
Line k has equation y = (2/3)x + 1. Which equation represents a line perpendicular to line k?
Not affiliated with the College Board. SAT is a trademark of the College Board.