Natasha is planning a school celebration and wants to have live music and food for everyone who attends. She has found a band that will charge her $750 and a caterer whoWill provide snacked and drinks for $2.25 per person. If her goal is to keep the average cost per person between $2.75 and $3.75, how many people must attend?

Question

Natasha is planning a school celebration and wants to have live music and food for everyone who attends. She has found a band that will charge her $750 and a caterer whoWill provide snacked and drinks for $2.25 per person. If her goal is to keep the average cost per person between $2.75 and $3.75, how many people must attend?
(1) 225<p<325
(2) 325<p<750
(3) 500<p<1000
(4) 750<p<1500

Anonymous · Accepted Answer

750<p< 1500

Scott · Answer

2.75 < 2.25 + (750 / p) < 3.75 .50 < 750 / p < 1.50 2 > p / 750 > 2/3 1500 > p > 500 none of the responses seem to be correct