Maths · Relations, type of relations, equivalence relations
Pankaj is planning lunch for his wedding anniversary. At one restaurant, the cos
Pankaj is planning lunch for his wedding anniversary. At one restaurant, the cost per person for lunch is \( \$ 15 \) with an additional one-time set-up charge of \( \$ 35 . \) Pankaj has a maximum budget of \( \$ 150 . \) If \( p \) represents the number of people (including Pankaj) who will attend the lunch, which of the following inequalities represents the number of people who can attend within budget?
- A. \( 15 p \leq 150+35 \)
- B. \( 35 \leq 150-15 p \)
- C. \( 15 p \geq 150-35 \)
- D. \( 35 \geq 150-15 p \)
Step-by-step solution
The total cost is \(15p + 35\), which must be ≤ 150. Rearranging gives \(35 \leq 150 - 15p\), which matches option B.
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