AlgebraMediumInequality for a range with a fixed fee
Algebra practice question
A hall charges a $200 booking fee plus $15 per guest. A club wants to spend at most $800. Which inequality gives the possible numbers of guests g?
- A. 200 + 15g ≤ 800Correct
- B. 200 + 15g ≥ 800
- C. 15g ≤ 800
- D. 200g + 15 ≤ 800
Answer: A. 200 + 15g ≤ 800
Total cost is the fee plus $15 per guest, and 'at most' is ≤. (So g ≤ 40.)
Why the other answers are wrong
- B. 200 + 15g ≥ 800
- ≥ would require spending at least $800.
- C. 15g ≤ 800
- Ignores the booking fee.
- D. 200g + 15 ≤ 800
- Multiplies guests by the fee instead of the per-guest charge.
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.