Question

brendan is hosting a banquet to raise funds for charity. the goal of the fundraiser is to raise more than $7,400. individual tickets cost $73 and an entire table can be purchased for $900.
select the inequality in standard form that describes this situation. use the given numbers and the following variables.
x = the number of individual tickets
y = the number of tables
$73x + 900y \geq 7,400$
$73x - 900y \geq 7,400$
$73x + 900y > 7,400$
$73x - 900y > 7,400$

Explanation:

Step1: Analyze revenue from tickets/tables

Individual tickets: \(73x\) (cost per ticket number of tickets). Tables: \(900y\) (cost per table number of tables). Total revenue: \(73x + 900y\).

Step2: Compare to goal

Goal: raise more than \$7,400. So total revenue \(>\) 7400. Thus, \(73x + 900y > 7400\).

Answer:

\(73x + 900y > 7,400\) (the third option)