Question

interpreting the structure of linear and exponential expressions - item 998022
zhi bought 18 tickets for games at a fair. each game requires 3 tickets. zhi wrote the
number of tickets she has left after playing g games.
diego correctly wrote another expression, 3(6 - g), that will also find the number of
tickets zhi has left after playing g games.
use the drop - down menus to explain what each part of zhis and diegos expressions
mean.
zhis expression: 18 - 3g
18:
3:
number of games left to play
total number of tickets
number of games per ticket
number of games already played
total number of games she can play
number of tickets per game
2g:

Explanation:

Step1: Analyze Zhis expression

Zhi has total tickets \(18\). Each game uses \(3\) tickets. If she plays \(g\) games, tickets used are \(3g\). So \(18 - 3g\) is tickets left.

Step2: Analyze Diegos expression

Diego's expression \(3(6 - g)\). Since \(18\div3 = 6\), \(6\) is total games she can play. \(6 - g\) is games left. Multiply by \(3\) (tickets per game) gives tickets left.

Answer:

18: total number of tickets
3: number of tickets per game
g: number of games already played
3g: total number of tickets used