Question

$y = 11x$

1. complete the table to show the number of students for each number of chaperones.

chaperones ($x$)	students ($y$)
4	44
5	55
6	66

1. which equation represents the total number of chaperones and students when a bus is full?

options:
$y = 60x$
$x = 60y$
$x + y = 60$
$x - y = 60$

Explanation:

Step1: Verify student-chaperone relation

Check given pairs: For $x=3$, $y=11\times3=33$; $x=4$, $y=11\times4=44$, which matches $y=11x$.

Step2: Analyze total bus capacity

A full bus holds total of chaperones ($x$) and students ($y$). The sum of $x$ and $y$ equals total capacity 60, so $x+y=60$.

Step3: Eliminate incorrect options

• $y=60x$: Overstates students, wrong ratio.
• $x=60y$: Overstates chaperones, wrong ratio.
• $x-y=60$: Implies more chaperones than total, impossible.

Answer:

$x + y = 60$