Ireally need on this one17.) rachel is planning a wedding for 100 to 250 people, depending on costs. she has hired a caterer that charges $20 per person, plus a flat fee of $200.a.) write an inequality in terms of p people that describes how many people rachel plans to invite. b.) adjust that inequality to show how much the caterer will charge in terms of p. c.) what is the range of catering fees that rachel is considering?

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