Question

I really need help on this one

Answer 1

Part A:

Given that Rachel is planning a wedding for 100 to 250 people, the inequality in terms of p people that describes how many people Rachel plans to invite is given by:

100 ≤ p ≤ 250



Part B:

Given that the caterer charges $20 per person, plus a flat fee of $200, the inequality that shows how much the caterer will charge in terms of p is given by:

20(100) + 200 ≤ 20p + 200 ≤ 20(250) + 200



Part C:

The range of catering fees (C) that Rachel is considering is given by:

20(100) + 200 ≤ 20p + 200 ≤ 20(250) + 200

2000 + 200 ≤ C ≤ 5000 + 200

2200 ≤ C ≤ 5200

Therefore, the range of catering fees Racheal is considering is from $2,200 to $5,200