Levon has 45 minutes until he needs to leave for his piano lesson. He spends 27 minutes watching an episode of his favorite TV show. Then he wants to play a game on his tablet. At most, how long can Levon spend playing the game before he need to leave?
Graph the inequality.
Levon has 45-27=18 minutes left after watching TV.
Let x be the amount of time Levon can spend playing the game.
The inequality representing this situation is:
x ≤ 18 (he cannot spend more than 18 minutes playing the game)
Graph:
<font size=5>[</font> <font size=5>]</font>------------<font size=4>18</font>------------<font size=5>[</font>
0 x
To find out how long Levon can spend playing the game before he needs to leave, we can subtract the time spent watching the TV show from the total time he has available.
Total time available = 45 minutes
Time spent watching TV show = 27 minutes
Therefore, the remaining time Levon can spend playing the game is:
Remaining time = Total time available - Time spent watching TV show
Remaining time = 45 minutes - 27 minutes
Remaining time = 18 minutes
So, Levon can spend at most 18 minutes playing the game before he needs to leave.
Graphing the inequality:
To graph the inequality, we'll use a number line. Let's assume Levon spends x minutes playing the game. Since he wants to spend at most 18 minutes playing the game, the inequality is:
x ≤ 18
Graphing this inequality on a number line, we have a closed circle at 18 (since it includes 18 in the solution) and the graph shading to the left of 18.